zbMath0867.17001MaRDI QIDQ4888783
Jacques Dixmier
Publication date: 20 August 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫) ⋮
Factoriality for the reductive Zassenhaus variety and quantum enveloping algebra ⋮
On prime and primitive ideals of the centrally extended Heisenberg double of SL2 ⋮
Unnamed Item ⋮
Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains ⋮
Poisson PI algebras ⋮
Commuting Families in Hecke and Temperley-Lieb Algebras ⋮
PRIME SPECTRA OF AMBISKEW POLYNOMIAL RINGS ⋮
Category 𝒪: Quivers and endomorphism rings of projectives ⋮
Twisting functors on 𝒪 ⋮
Lie structure of truncated symmetric Poisson algebras ⋮
Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras ⋮
A complete set of intertwiners for arbitrary tensor product representations via current algebras ⋮
The Poisson spectrum of the symmetric algebra of the Virasoro algebra ⋮
Standard parabolic subsets of highest weight modules ⋮
Normal structure spaces of groups ⋮
On the semi-centre of a Poisson algebra ⋮
The maximal abelian dimension of a Lie algebra, Rentschler's property and Milovanov's conjecture ⋮
Simple Heisenberg-Virasoro modules from Weyl algebra modules ⋮
Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions ⋮
One dimensional representations of finite \(W\)-algebras, Dirac reduction and the orbit method ⋮
Bicocycle double cross constructions ⋮
Scale for codimension growth of Poisson PI-algebras ⋮
Affinoid Dixmier modules and the deformed Dixmier-Moeglin equivalence ⋮
Generalized oscillator representations of the twisted Heisenberg-Virasoro algebra ⋮
Ideals in the enveloping algebra of the positive Witt algebra ⋮
Endomorphism property of vertex operator algebras over arbitrary fields ⋮
Finite generation of Lie algebras of Poisson brackets ⋮
Centrally generated primitive ideals of \(U(\mathfrak{n})\) for exceptional types ⋮
On locally analytic Beilinson-Bernstein localization and the canonical dimension ⋮
On Dixmier-Duflo isomorphism in positive characteristic -- the classical nilpotent case ⋮
Verma modules over \(p\)-adic Arens-Michael envelopes of reductive Lie algebras ⋮
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An explicit isomorphism between quantum and classical \(\mathfrak{sl}_n \) ⋮
Quiver varieties and symmetric pairs ⋮
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A Dixmier theorem for Poisson enveloping algebras ⋮
Diophantine sets of representations ⋮
Center of skew PBW extensions ⋮
Quantum Schubert cells via representation theory and ring theory ⋮
Graded linearisations ⋮
Quantum groups of \(\mathrm{GL}(2)\) representation type. ⋮
Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras ⋮
Free Group Algebras in Division Rings with Valuation II ⋮
Unnamed Item ⋮
Simple supermodules over Lie superalgebras ⋮
Stratifications of Marsden-Weinstein reductions for representations of quivers and deformations of symplectic quotient singularities ⋮
Invariants of coadjoint representations of regular factors ⋮
Whittaker modules for classical Lie superalgebras ⋮
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl2) ⋮
Actions of the additive group \(G_a\) on certain noncommutative deformations of the plane ⋮
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Stability of parabolic subalgebras of exceptional simple Lie algebras ⋮
The universal enveloping algebra of the Witt algebra is not Noetherian ⋮
Connected Hopf algebras and iterated Ore extensions. ⋮
𝑈(𝔤)-finite locally analytic representations ⋮
Parabolic category O for classical Lie superalgebras ⋮
Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module ⋮
Whittaker modules for \(U_q(\mathfrak{sl}_2)\) ⋮
Double centralizer properties, dominant dimension, and tilting modules ⋮
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I ⋮
Finite-dimensional simple Poisson modules ⋮
A degree inequality for Lie algebras with a regular Poisson semi-center ⋮
The Burger-Sarnak method and operations on the unitary dual of 𝐺𝐿(𝑛) ⋮
Enright’s completions and injectively copresented modules ⋮
Poisson orders, symplectic reflection algebras and representation theory ⋮
Normal elements in the mod-\(p\) Iwasawa algebra over \(\mathrm{SL}_n(\mathbb{Z}_p)\): a computational approach ⋮
Index and Cartan decomposition of a real semisimple Lie algebra. ⋮
Simple Virasoro modules which are locally finite over a positive part ⋮
Actions of cocommutative Hopf algebras ⋮
Derivations of a parametric family of subalgebras of the Weyl algebra. ⋮
Double affine Hecke algebras at roots of unity ⋮
The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras ⋮
Ideals in tensor powers of the enveloping algebrau(sl2) ⋮
On free subsemigroups of associative algebras ⋮
Symmetric Powers of Nat 𝔰𝔩2(𝕂) ⋮
Intersection multiplicity one for classical groups ⋮
Centrally generated primitive ideals of \(U(\mathfrak{n})\) in types B and D ⋮
A local-global principle for linear dependence in enveloping algebras of Lie algebras ⋮
The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions ⋮
Topological Hopf algebras and their Hopf-cyclic cohomology ⋮
VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS ⋮
On Cartan subalgebras and Cartan subspaces of nonsymmetric pairs of Lie algebras ⋮
The prime ideals and simple weight modules of the algebra 𝑈(𝔟⋉𝔙₃) ⋮
A proof of the first Kac–Weisfeiler conjecture in large characteristics ⋮
Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants ⋮
Book Review: Lie superalgebras and enveloping algebras ⋮
Solvable symmetric Poisson algebras and their derived lengths ⋮
On actions of connected Hopf algebras ⋮
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On multisemigroups. ⋮
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Localizations of $$ U_{q}(\mathfrak{s}\mathfrak{l}(2))$$ and $$ U_{q}(\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\vert 2))$$ Associated with Euclidean and Super Euclidean Algebras ⋮
Relaxed highest-weight modules II: Classifications for affine vertex algebras ⋮
Classification of simple weight modules over the 1-spatial ageing algebra ⋮
On a conjecture about solvability of symmetric Poisson algebras ⋮
SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS ⋮
A note on the Dixmier-Moeglin equivalence in Leavitt path algebras of arbitrary graphs over a field ⋮
Index of Hom-Lie algebras ⋮
Quantum symmetric conjugacy classes of non-exceptional groups ⋮
Moment maps and cohomology of non-reductive quotients ⋮
PBW bases of irreducible Ising modules ⋮
The center of the universal enveloping algebras of small-dimensional nilpotent Lie algebras in prime characteristic ⋮
Capelli-Deruyts bitableaux and the classical Capelli generators of the center of the enveloping algebra U( gl ( n )) ⋮
Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex ⋮
Kostant's problem for Whittaker modules ⋮
The centralizer construction and Yangian-type algebras ⋮
Polynomial algebras from Lie algebra reduction chains \(\mathfrak{g}\supset\mathfrak{g}'\) ⋮
On the semi-center of a universal enveloping algebra ⋮
Arc spaces and chiral symplectic cores ⋮
Identities in group rings, enveloping algebras and Poisson algebras ⋮
Localization and ideal theory in iterated differential operator rings ⋮
Unrestricted quantum moduli algebras. I: The case of punctured spheres ⋮
Essential orders on stratified algebras with duality and \(\mathcal{S}\)-subcategories in \(\mathcal{O}\) ⋮
On Dixmier's fourth problem ⋮
Applications of the category of linear complexes of tilting modules associated with the category \(\mathcal O\) ⋮
Primitive ideals in rational, nilpotent Iwasawa algebras ⋮
\(N\)-point spherical functions and asymptotic boundary KZB equations ⋮
Three-dimensional Gaussian fluctuations of non-commutative random surfaces along time-like paths ⋮
Twisted Yangians for symmetric pairs of types B, C, D ⋮
Super-characters of finite unipotent groups of types \(B_n\), \(C_n\) and \(D_n\). ⋮
Goldie rank ratios and quaternionic extensions. ⋮
The Gelfand-Kirillov conjecture for semi-direct products of Lie algebras ⋮
On the uniqueness of embeddings of Verma modules defined by the Shapovalov elements ⋮
Factorial properties of the enveloping algebra of a nilpotent Lie algebra in prime characteristic ⋮
New simple Virasoro modules from Weyl algebra modules ⋮
On irreducible representations of compact \(p\)-adic analytic groups ⋮
Contact Lie poset algebras ⋮
Irreducible highest weight modules and equivariant quantization ⋮
Ring theory from symplectic geometry ⋮
Non-extremal weight modules for quantized universal enveloping algebras ⋮
Biquantization of symmetric pairs and the quantum shift ⋮
Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms ⋮
Determinant formula for parabolic Verma modules of Lie superalgebras ⋮
On the global dimension of some filtered algebras ⋮
Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras ⋮
Irreducible characters of groups associated with finite nilpotent algebras with involution. ⋮
Endomorphisms of quantum generalized Weyl algebras. ⋮
Category \(\mathcal{O}\) for the Schrödinger algebra ⋮
On commutative polarizations. ⋮
The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven ⋮
Infinite Kostant cascades and centrally generated primitive ideals of \(U(\mathfrak{n})\) in types \(A_\infty\), \(C_\infty\) ⋮
Complete reducibility theorems for modules over pointed Hopf algebras. ⋮
Simple vertex operator algebras are nondegenerate. ⋮
Control systems on semi-simple Lie groups and their homogeneous spaces ⋮
The category \(\mathcal O\) for a general Coxeter system ⋮
Category \({\mathcal O}\): gradings and translation functors. ⋮
Representations of the restricted Lie color algebras ⋮
Unbounded induced representations of \(\ast \)-algebras ⋮
Cuspidal \(\mathfrak{sl}_n\)-modules and deformations of certain Brauer tree algebras ⋮
Relative version of Weyl-Kac character formula ⋮
Representations of Yang-Mills algebras ⋮
Two applications of elementary knot theory to Lie algebras and Vassiliev invariants ⋮
Primitive localizations of an enveloping algebra ⋮
Universal enveloping algebras and universal derivations of Poisson algebras ⋮
Normalizers and self-normalizing subgroups. II. ⋮
Cherednik algebras and differential operators on quasi-invariants. ⋮
Non-commutative moment problems ⋮
The Frobenius semiradical of a Lie algebra. ⋮
Index and stable linear forms in Lie algebras. ⋮
The isomorphism problem for universal enveloping algebras of nilpotent Lie algebras ⋮
Non-symmetrizable quantum groups: defining ideals and specialization ⋮
Categories of modules over an affine Kac-Moody algebra and finiteness of the Kazhdan-Lusztig tensor product ⋮
Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras ⋮
Normal elements of noncommutative Iwasawa algebras over \(\mathrm{SL}_{3}(\mathbb{Z}_{p})\) ⋮
Prime factors of quantum Schubert cell algebras and clusters for quantum Richardson varieties ⋮
Connected quantized Weyl algebras and quantum cluster algebras ⋮
Categorification of (induced) cell modules and the rough structure of generalised Verma modules ⋮
The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem ⋮
Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮
On Jordan doubles of slow growth of Lie superalgebras ⋮
Blocks and modules for Whittaker pairs ⋮
Classical and quantum mechanics from the universal Poisson-Rinehart algebra of a manifold ⋮
Category \(\mathcal O\) over a deformation of the symplectic oscillator algebra. ⋮
Lengths of finite dimensional representations of PBW algebras ⋮
An analogue of the BGG resolution for locally analytic principal series ⋮
A strong Dixmier-Moeglin equivalence for quantum Schubert cells ⋮
Unruffled extensions and flatness over central subalgebras. ⋮
On the index of certain Lie algebras. ⋮
Decomposition of \(D\)-modules over a hyperplane arrangement in the plane ⋮
Finitistic dimension and tilting modules for stratified algebras. ⋮
Category \(\mathcal O\) for quantum groups ⋮
Representations associated to involutions on algebraic groups and modular Harish-Chandra modules. ⋮
Structure of the Verma module \(M(-\rho)\) over Euclidean Lie algebras ⋮
Spherical analysis on homogeneous vector bundles ⋮
Koszul duality for extension algebras of standard modules. ⋮
Algebraic group actions on noncommutative spectra. ⋮
On the center and semi-center of enveloping algebras in prime characteristic ⋮
Constructive noncommmutative invariant theory ⋮
The orbit method for locally nilpotent infinite-dimensional Lie algebras ⋮
The index and spectrum of Lie poset algebras of types B, C, and D ⋮
The two-boundary Temperley-Lieb algebra. ⋮
Computing invariants and semi-invariants by means of Frobenius Lie algebras ⋮
Actions of algebraic groups on the spectrum of rational ideals. II ⋮
The support of an irreducible Lie algebra representation ⋮
Deformations of symplectic singularities and orbit method for semisimple Lie algebras ⋮
On simple modules of the \(n\)-th Schrödinger algebra ⋮
The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight ⋮
The Lie-Rinehart universal Poisson algebra of classical and quantum mechanics ⋮
Twistor operators in symplectic geometry ⋮
Automorphism groups of some algebras. ⋮
On certain maximal subfields in the quotient division ring of an enveloping algebra. ⋮
Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras ⋮
Capelli operators for spherical superharmonics and the Dougall-Ramanujan identity ⋮
Harish-Chandra bimodules in the Deligne category \(\mathrm{Rep}(\mathrm{GL}_t)\) ⋮
Certain generating subspaces for vertex operator algebras ⋮
Regular representations and Huang--Lepowsky tensor functors for vertex operator algebras ⋮
Invariant eigendistributions on \(\text{SU}_{p,q}\)