Invariants of Finite Reflection Groups
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Publication:5727705
DOI10.1017/S0027763000011028zbMath0117.27104MaRDI QIDQ5727705
Publication date: 1963
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Related Items (90)
Invariants of finite groups and their applications to combinatorics ⋮ The dual braid monoid ⋮ NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS ⋮ Extending tensors on polar manifolds ⋮ Isolated Singularity, Witten's Laplacian, and Duality for Twisted de Rham Cohomology ⋮ Set superpartitions and superspace duality modules ⋮ Regular and semi-regular polytopes. III ⋮ On the cohomology of free and twisted loop spaces ⋮ On the Realization and Classification of Symmetric Algebras as Cohomology Rings ⋮ Non-broken circuits of reflection groups and factorization in \(D_ n\) ⋮ Geometric structures on the complement of a projective arrangement ⋮ Generalized exponents and forms ⋮ The cohomology of the finite general linear group ⋮ Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type ⋮ Invariants of Euclidean Reflection Groups ⋮ Basic invariants of finite reflection groups ⋮ On the Steinberg Character of a Finite Simple Group of Lie Type ⋮ Drinfeld orbifold algebras for symmetric groups ⋮ A characterization of the Macaulay dual generators for quadratic complete intersections ⋮ Extended nilHecke algebras and symmetric functions in type B ⋮ On characters and unipotent elements of finite Chevelley groups ⋮ Exterior powers of the reflection representation in the cohomology of Springer fibres ⋮ Quadratic equations over finite fields and class numbers of real quadratic fields ⋮ On some modules of covariants for a reflection group ⋮ Automorphism groups and invariant theory on ℙN ⋮ Deligne-Lusztig characters and principal indecomposable modules ⋮ On the Sperner property for the absolute order on complex reflection groups ⋮ Automizers as extended reflection groups. ⋮ A canonical system of basic invariants of a finite reflection group ⋮ Invariant differential derivations for reflection groups in positive characteristic ⋮ Tanisaki witness relations for harmonic differential forms ⋮ Exterior algebra structure on relative invariants of reflection groups ⋮ Arc spaces and DAHA representations ⋮ A zeta function approach to the relation between the numbers of symmetry planes and axes of a polytope ⋮ Unitary reflection groups and cohomology ⋮ Vandermondes in superspace ⋮ Vandermondes, superspace, and delta conjecture modules ⋮ Normal reflection subgroups ⋮ Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds ⋮ Geometry of algebraic surfaces with symmetries ⋮ Automorphisms, root systems, and compactifications of homogeneous varieties ⋮ Isospectral commuting variety, the Harish-Chandra \(\mathcal D\)-module, and principal nilpotent pairs ⋮ Basic differential forms for actions of Lie groups ⋮ Bounding reflection length in an affine Coxeter group. ⋮ Weyl group \(q\)-Kreweras numbers and cyclic sieving ⋮ Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail ⋮ Exterior powers of the reflection representation in Springer theory ⋮ On minimal lengths of expressions of Coxeter group elements as products of reflections ⋮ Freeness of hyperplane arrangements and related topics ⋮ The algebra of \(K\)-invariant vector fields on a symmetric space \(G/K\) ⋮ Parking spaces. ⋮ Relatively free invariant algebras of finite reflection groups ⋮ Cyclic sieving of noncrossing partitions for complex reflection groups. ⋮ \(p\)-forms on \(d\)-spherical tessellations ⋮ Reflexponents ⋮ The rationality of elements of prime order in compact connected simple Lie groups ⋮ A decomposition of the descent algebra of a finite Coxeter group ⋮ Wave front evolution and equivariant Morse lemma ⋮ A Fixed-Point Formula for the Classical Groups Over a Finite Field ⋮ Spin invariant theory for the symmetric group. ⋮ The distance spectra of Cayley graphs of Coxeter groups ⋮ Elements of compact connected simple Lie groups with prime power order and given field of characters ⋮ A primitive derivation and logarithmic differential forms of Coxeter arrangements ⋮ Transvection free groups and invariants of polynomial tensor exterior algebras ⋮ New strings for old Veneziano amplitudes. II: group-theoretic treatment ⋮ Reflection Groups ⋮ Generalized exponents and forms. ⋮ Unnamed Item ⋮ Invariant theory for coincidental complex reflection groups ⋮ The Markov traces and the Fourier transforms. ⋮ A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge. ⋮ Relative invariants of finite groups generated by pseudoreflections ⋮ Harmonic differential forms for pseudo-reflection groups. I: Semi-invariants ⋮ Spectra of Cayley graphs of complex reflection groups ⋮ Die Uniformisierbarkeit der Fixpunkte eigentlich diskontinuierlicher Gruppen von biholomorphen Abbildungen ⋮ Semi-invariants of finite reflection groups ⋮ The orders of the finite Chevalley groups ⋮ Covariants of the symmetric group and its analogs in Weyl algebras ⋮ Reconstructions of fronts and caustics depending on a parameter and versality of mappings ⋮ Zero weight spaces and the Springer correspondence ⋮ Generalized noncrossing partitions and combinatorics of Coxeter groups ⋮ A combinatorial model for the decomposition of multivariate polynomial rings as \(S_n\)-modules ⋮ On Weyl group equivariant maps ⋮ Regular elements of finite reflection groups ⋮ Poincaré polynomials of representations of finite groups generated by reflections ⋮ A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of \(B_n\) ⋮ Symmetry, invariants, topology. Basic tools ⋮ Representations of rational Cherednik algebras with minimal support and torus knots. ⋮ Minima of invariant functions: the inverse problem ⋮ Evaluations of annular Khovanov-Rozansky homology
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