Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article - MaRDI portal

scientific article

From MaRDI portal
Publication:3160258

zbMath1068.11023MaRDI QIDQ3160258

Tsit-Yuen Lam

Publication date: 4 February 2005


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS, Pfister Numbers over Rigid Fields, On the density of S-adic integers near some projective G-varieties, Mixed Witt rings of algebras with involution, Hasse principles for quadratic forms over function fields, Galois module structure of square power classes for biquadratic extensions, Bitangents to plane quartics via tropical geometry: rationality, \(\mathbb{A}^1\)-enumeration, and real signed count, A genus two arithmetic Siegel-Weil formula on 𝑋₀(𝑁), Krull dimension of the negligible quotient in mod \(p\) cohomology of a finite group, Conelike radiant structures, Arithmetic inflection formulae for linear series on hyperelliptic curves, Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere, Factorization and root-finding for polynomials over division quaternion algebras, Pourchet’s theorem in action: decomposing univariate nonnegative polynomials as sums of five squares, On In-forms over field extensions, Totally positive field extensions and the pythagorean index, Chow groups of quadrics in characteristic two, Extensions algébriques maximales de corps gauches, Transfers on Milnor-Witt \(K\)-theory, Involutions of sl(2,k) and non-split, three-dimensional simple Lie algebras, Local-global principle for projective homogeneous spaces of unitary groups, Essential dimension of semisimple groups of type \(B\), Symmetric locally free resolutions and rationality problems, Matrices over Quaternion Algebras, Pfister forms in the algebraic and geometric theory of quadratic forms, On the structure and representation theory of \(q\)-deformed Clifford algebras, Computing Square Roots in Quaternion Algebras, Conics meeting eight lines over perfect fields, On some finiteness results in real étale cohomology, Densities of integer sets represented by quadratic forms, The magic square of reflections and rotations, On the commensurability of hyperbolic Coxeter groups, About arithmetic of intersections of two quadrics, Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction, Sectional nonassociativity of metrized algebras, Bounding the Pythagoras number of a field by \(2^n +1\), A refined scissors congruence group and the third homology of \(\operatorname{SL}_2\), Spherical kinematics in 3-dimensional generalized space, Undecidability of linear inequalities in graph homomorphism densities, Quadratic Forms and Automorphic Forms, Some Aspects of the Algebraic Theory of Quadratic Forms, Division algebras with infinite genus, On Calculating the Slice Genera of 11- and 12-Crossing Knots, On existence of tame Harrison map, On the hardness of the noncommutative determinant, More on rank-2 tori and its cohomological applications, An arithmetic count of the lines meeting four lines in 𝐏³, An odd degree descent problem for quasi-subforms of quadratic forms, Computing the Length of Sum of Squares and Pythagoras Element in a Global Field, Noninjectivity of the cycle class map in continuous -adic cohomology, Cohomological invariants for orthogonal involutions on degree 8 algebras, Galois cohomology of function fields of curves over non-archimedean local fields, Critical varieties and motivic equivalence for algebras with involution, Compatible intertwiners for representations of finite nilpotent groups, Distinguished tame supercuspidal representations and odd orthogonal periods, Injectivity and surjectivity of the Dress map, Witt rings of quadratically presentable fields, Examples of algebraic groups of type \(G_2\) having the same maximal tori, \(p\)-adic quotient sets. II: Quadratic forms, Positive semidefinite univariate matrix polynomials, Unnamed Item, Unnamed Item, Wild and even points in global function fields, Gradings on symmetric composition algebras, On the \(u\)-invariant of a real function field, On the rational motivic homotopy category, Supreme torsion forms, On the third homology of 𝑆𝐿₂ and weak homotopy invariance, Faithfully quadratic rings, The anisotropic part of a quadratic form over a number field, Nonstandard quadratic forms over rational function fields, Équivalence motivique des groupes algébriques semisimples, The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians, Birational geometry of quadrics in characteristic 2, Totally geodesic spectra of arithmetic hyperbolic spaces, Witt equivalence of function fields over global fields, Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves, Unnamed Item, Thick Ideals in Equivariant and Motivic Stable Homotopy Categories, Some Observations About Motivic Tensor Triangulated Geometry over a Finite Field, Norms and gauges on Clifford Algebra, The Kaplansky radical of a quadratic field extension, Orthogonal Pfister involutions in characteristic two, Signatures of Hermitian forms and the Knebusch trace formula, Moufang Sets and Structurable Division Algebras, Involutions on tensor products of quaternion algebras, Decomposable and indecomposable algebras of degree 8 and exponent 2., Relations in \(I^{n}\) and \(I^{n}W_{q}\) in characteristic 2, On biquaternion algebras with orthogonal involution, Quaternion group algebra and representations of the quaternions, Stability index of algebras with involution, Gram spectrahedra, Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields, Cohomological Invariants of Central Simple Algebras with Involution, Quaternion Algebras with the Same Subfields, Classification of translation invariant topological Pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices, Equivariant vector fields on non-trivial \(\text{SO}_n\)-torsors and differential Galois theory, Outer automorphisms of classical algebraic groups, Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D, On orthostochastic, unistochastic and qustochastic matrices, Decomposability for division algebras of exponent two and associated forms, Witt equivalence of function fields of conics, On quaternion algebras over the composite of quadratic number fields, ANNIHILATING IDEALS OF QUADRATIC FORMS OVER LOCAL AND GLOBAL FIELDS, On the 3-Pfister Number of Quadratic Forms, Convergence of the Motivic Adams Spectral Sequence, (ℤ/2ℤ)4-CROSSED PRODUCTS OF EXPONENT 2, Totally positive extensions and weakly isotropic forms, Birational geometry of quadrics, Quadratic Forms, ON HERMITIAN PFISTER FORMS, Two Results on the Size of Spectrahedral Descriptions, Shalika Germs for $$\mathfrak{s}\mathfrak{l}_{n}$$ and $$\mathfrak{s}\mathfrak{p}_{2n}$$ Are Motivic, Orthogonal representations of twisted forms of 𝑆𝐿₂, Sums of squares over totally real fields are rational sums of squares, Graded quaternion symbol equivalence of function fields, A Generic Characterization of Direct Summands for Orthogonal Involutions, Pfister’s theorem for orthogonal involutions of degree 12, Hyperbolic Involutions and Quadratic Extensions, Affine quadrics and the Picard group of the motivic category, Power-Central Elements in Tensor Products of Symbol Algebras, The norm principle for type $D_n$ groups over complete discretely valued fields, Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes, Hyperbolic manifolds and pseudo-arithmeticity, An arithmetic count of the lines on a smooth cubic surface, Galois equivariance and stable motivic homotopy theory, Primitivity testing of finite nilpotent linear groups, $E_8$, the most exceptional group, Outer automorphisms of adjoint groups of type 𝖣 and nonrational adjoint groups of outer type 𝖠, Fields of Definition for Representations of Associative Algebras, Langlands lambda function for quadratic tamely ramified extensions, Noncommutative motives of Azumaya algebras, Unnamed Item, Stably irrational hypersurfaces of small slopes, Vanishing theorems and Brauer–Hasse–Noether exact sequences for the cohomology of higher-dimensional fields, A note on Tannakian categories and mixed motives, Linear hyperbolic systems on networks: well-posedness and qualitative properties, A new construction of Moufang quadrangles of type 𝐸₆,𝐸₇ and 𝐸₈, Spinor groups with good reduction, Unnamed Item, Bilinear forms of dimension less than or equal to 5 and function fields of quadrics in characteristic 2, Negative K-Theory of Generalized Quaternion Groups and Binary Polyhedral Groups, Some comments on motivic nilpotence, Hermitian 𝑢-invariants over function fields of 𝑝-adic curves, On Secret Sharing with Nonlinear Product Reconstruction, Sur l'homologie des groupes unitaires à coefficients polynomiaux, Isomorphy classes of k-involutions of G2, The Witt Ring of a Smooth Projective Curve Over a Finite Field, Solubility of additive forms of twice odd degree over ramified quadratic extensions of $\mathbb {Q}_2$, Birational equivalence of n-Pfister neighbors, A look at representations of \(\mathrm{SL}_{2}(\mathbb{F}_{q})\) through the lens of size, On bilinear forms of height 2 and degree 1 or 2 in characteristic 2, Explicit equivalence of quadratic forms over \(\mathbb{F}_q(t)\), On commensurable hyperbolic Coxeter groups, Computing with quadratic forms over number fields, Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4, Signatures of hermitian forms, positivity, and an answer to a question of Procesi and Schacher, Demuškin groups, Galois modules, and the elementary type conjecture, The Brauer group of modified supergroup algebras., Rigidity of 2-step Carnot groups, Description of Galois unipotent extensions, Clifford algebras as twisted group algebras and the Arf invariant, Orthogonal symmetries and Clifford algebras, The \(u\)-invariant of the function fields of \(p\)-adic curves, Real closed exponential subfields of pseudo-exponential fields, Irreducibility testing of finite nilpotent linear groups., Sums of squares in nonreal commutative rings, Signatures of Hermitian forms and ``prime ideals of Witt groups, Group and round quadratic forms, Isotropy over function fields of Pfister forms, Hilbert's tenth problem for rational function fields over \(p\)-adic fields, Algebras with involution that become hyperbolic over the function field of a conic., Milnor-Witt \(K\)-groups of local rings, Period-index and \(u\)-invariant questions for function fields over complete discretely valued fields, On cyclic twists of elliptic curves of period two or three and the determination of their relative Brauer groups, The weak isotropy of quadratic forms over field extensions, Invariants mod-2 and subgroups of \(G_2\) and \(F_4\), Fibers of flat morphisms and Weierstrass preparation theorem, Killing forms of isotropic Lie algebras, On the bilinear structure associated to Bezoutians, Rational Witt classes of Pretzel knots, Rotations and units in quaternion algebras, Topological spaces as spaces of \(\mathbb R\)-places, Sums of values represented by a quadratic form, The chain lemma for biquaternion algebras., Subforms of norm forms of octonion fields, Multiples of Pfister forms, On zeros of a system of quadratic forms in 3 variables, Local-global principle for quadratic forms over fraction fields of two-dimensional henselian domains, The homotopy limit problem for Hermitian \(K\)-theory, equivariant motivic homotopy theory and motivic real cobordism, Stabilizers of subspaces under similitudes of the Klein quadric, and automorphisms of Heisenberg algebras, On the subgroup structure of the full Brauer group of Sweedler Hopf algebra., Springer's theorem for tame quadratic forms over Henselian fields, The length and other invariants of a real field, Weakly isotropic quadratic forms under field extensions, Symbol length and stability index, A Clifford algebra is a weak Hopf algebra in a suitable symmetric monoidal category., Homomorphisms on infinite direct product algebras, especially Lie algebras, Zero cycles of degree one on principal homogeneous spaces, The Witt ring of a curve with good reduction over a non-dyadic local field, A proof of the Pfister factor conjecture, A right-invariant lattice-order on groups of paraunitary matrices, How to obtain division algebras used for fast-decodable space-time block codes, The existence of superinvolutions., Witt groups of smooth projective quadrics, Rings of square stable range one, Higher triple Massey products and symbols, Degree four cohomological invariants for certain central simple algebras, The class of Eisenbud-Khimshiashvili-Levine is the local \(\mathbb{A}^1\)-Brouwer degree, Classifying quadratic forms over \(\mathbb Z_2\) in three variables, Intersections of maximal subspaces of zeros of two quadratic forms, Weakly hyperbolic involutions, Ramification sequences and Bezoutian forms, Embeddings of rank-2 tori in algebraic groups, Stably \(\mathbb{A}^1\)-connected varieties and universal \(\mathrm{CH}_{0}\), Powers of totally positive subgroups of fields, Clifford algebras and the universal invariant, Cohomological invariants of Jordan algebras with frames, On strong automorphisms of direct products of Witt rings. I, Representation of polynomials as products of two values of a quadratic form, Wild Pfister forms over Henselian fields, \(K\)-theory, and conic division algebras, A sequence to compute the Brauer group of certain quasi-triangular Hopf algebras., On nilpotent orbits of \(\mathrm{SL}_{n}\) and \(\mathrm{Sp}_{2n}\) over a local non-Archimedean field, On the Arf invariant in historical perspective, Rings with internal cancellation., Virtual forms, Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\), The Elman-Lam-Krüskemper theorem, On some algebraic properties of CM-types of CM-fields and their reflexes, The Bianchi variety, Isotropy of an Albert bilinear form over the function field of a quadric in characteristic 2, Spectra, spectra, spectra -- tensor triangular spectra versus Zariski spectra of endomorphism rings, The Procesi-Schacher conjecture and Hilbert's 17th problem for algebras with involution., On the level of principal ideal domains, Triple linkage, Weighted sums of squares in local rings and their completions. I, Weighted sums of squares in local rings and their completions. II, Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties, Nonexcellent finite field extensions of 2-primary degree, On ternary cubic forms that determine central simple algebras of degree 3, Sums of squares in function fields of hyperelliptic curves, Geometric properties of conformal transformations on \(\mathbb R^{p,q}\), Operations in Milnor \(K\)-theory, Rationally isotropic quadratic spaces are locally isotropic, The third homology of the special linear group of a field, Varieties with quadratic entry locus. I, Applications of patching to quadratic forms and central simple algebras, The homotopy groups of the \(\eta \)-periodic motivic sphere spectrum, Geometry of \(2 \times 2\) Hermitian matrices over any division ring, Shells of twisted flag varieties and the Rost invariant, Sums of squares and quadratic persistence on real projective varieties, Jacques Tits motivic measure, A purity theorem for quadratic spaces, Split Pell and Pell-Lucas quaternions, On central extensions of \(\operatorname{SL}(2,F)\) admitting left-orderings, Real fields, valuations, and quadratic forms, Characterization of special points of orthogonal symmetric spaces, MacWilliams extending conditions and quasi-Frobenius rings, Quadratic types and the dynamic Euler number of lines on a quintic threefold, Square-reflexive polynomials, Finite embedding problems over noncommutative fields, On the classification of quadratic forms over an integral domain of a global function field, Reduction of structure to parabolic subgroups, Witt's cancellation theorem seen as a cancellation, Invariants of trace forms in odd characteristic and authentication codes, On rational points of certain affine hypersurfaces, Computing \(n\)-th roots in \(\text{SL}_{2}\) and Fibonacci polynomials, Enhanced Koszul properties in Galois cohomology, Rationality problem for classifying spaces of spinor groups, Groups with a nontrivial nonideal kernel, On the global Gan-Gross-Prasad conjecture for general spin groups, Similarity of quadratic forms and related problems, Diagrammatic state sums for 2D pin-minus TQFTs, The Tambara structure of the trace ideal for cyclic extensions. With an appendix by Harry Chen and Xinling Chen, A quantum-trace determinantal formula for matrix commutators, and applications, Nilpotent orbits of orthogonal groups over \(p\)-adic fields, and the DeBacker parametrization, On quaternion algebras split by a given extension, Clifford algebras and hyperelliptic curves, Sums of squares in certain quaternion and octonion algebras, Automorphisms of Witt rings of local type, Some remarks regarding \(l\)-elements defined in algebras obtained by the Cayley-Dickson process, On the EKL-degree of a Weyl cover, A finiteness theorem for special unitary groups of quaternionic skew-Hermitian forms with good reduction, On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds, The inverse inertia problem for the complements of partial \(k\)-trees, Approximation theorems for spaces of localities, Some versions of the \(u\)-invariant of a field, Stable extendibility of normal bundles over lens spaces, Geometry of hyperfields, Linear algebraic groups with good reduction, An arithmetic enrichment of Bézout's theorem, Koszul algebras and quadratic duals in Galois cohomology, Categories of orthogonality spaces, Von-Neumann finiteness and reversibility in some classes of non-associative algebras, Applications of the Bloch-Kato conjecture to cohomological invariants and symbol length, On subspaces of Kloosterman zeros and permutations of the form \(L_1(x^{-1})+L_2(x)\), Similarity of quadratic and symmetric bilinear forms in characteristic 2, Four-dimensional quadratic forms over \(\mathbb{C}((t))(X)\), Springer's odd degree extension theorem for quadratic forms over semilocal rings, Signatures, sums of Hermitian squares and positive cones on algebras with involution, A quadratic form approach to construction A of lattices over cyclic algebras, Hereditarily non-Pythagorean fields, On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1})\)], The Pythagoras number and the \(u\)-invariant of Laurent series fields in several variables, Hermitian and skew Hermitian forms over local rings, Tori associated to a quartic étale algebra, On the Brauer group complex for a multiquadratic field extension, Semiorderings and stability index under field extensions, A Hermitian analogue of the Bröcker-Prestel theorem., \(n\)-th root selections in fields, Characterising Clifford parallelisms among Clifford-like parallelisms, Minimal anisotropic groups of higher real rank, Applications to \(\mathbb{A}^1\)-enumerative geometry of the \(\mathbb{A}^1\)-degree, Linkage of Pfister forms over \(\mathbb{C}(x_1,\dots,x_n)\), On parametric and generic polynomials with one parameter, \(S\)-arithmetic spinor groups with the same finite quotients and distinct \(\ell^2\)-cohomology, Denseness results in the theory of algebraic fields, Borel-Weil theorem for algebraic supergroups, Classification of 3-dimensional pairs of quadratic forms over a field, Moduli spaces of sheaves on \(K3\) surfaces and Galois representations, Positive cones on algebras with involution, Motivic spheres and the image of the Suslin-Hurewicz map, Sums of squares in function fields over Henselian local fields, On equivariant and motivic slices, The tight approximation property, Projective metric geometry and Clifford algebras, On polynomial values of anisotropic quadratic forms, A classical proof that the algebraic homotopy class of a rational function is the residue pairing, Hitchhiker's guide to Courant algebroid relations, Biquaternion division algebras and fourth power-central elements, On finite embedding problems with abelian kernels, Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings, A cubic ring of integers with the smallest Pythagoras number, The simplicial EHP sequence in \(\mathbb{A}^1\)-algebraic topology, An introduction to \(\mathbb{A}^1\)-enumerative geometry. Based on lectures by Kirsten Wickelgren delivered at the LMS-CMI research school ``Homotopy theory and arithmetic geometry -- motivic and Diophantine aspects, Classification of Frobenius forms in five variables, Twists of the Burkhardt quartic threefold, Functorial relationships between multirings and the various abstract theories of quadratic forms, Chain equivalence on quaternions with trivial sum, Products of Riordan arrays of finite orders, Twisted Blanchfield pairings and twisted signatures. I: algebraic background, A note on finite embedding problems with nilpotent kernel, A transfer morphism for Hermitian \(K\)-theory of schemes with involution, The period-index problem for real surfaces, Hasse principle for the Chow groups of zero-cycles on quadric fibrations, Holomorphic functions in generalized Cayley-Dickson algebras, Some criteria for stably birational equivalence of quadratic forms, An explicit derived equivalence of Azumaya algebras on \(K3\) surfaces via Koszul duality, Relations between the Chow motive and the noncommutative motive of a smooth projective variety, Eichler orders and Jacobi forms of squarefree level, On the bad points of positive semidefinite polynomials