On Lusztig's isomorphism theorem for Hecke algebras

DOI10.1016/0021-8693(85)90125-5zbMath0564.20021OpenAlexW1975082119MaRDI QIDQ1057985

Charles W. Curtis

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90125-5

zbMATH Keywords

parabolic subgroupsWeyl groupirreducible charactersBorel subgrouppermutation representationcentralizer algebrafinite Chevalley group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items (20)

Lusztig's isomorphism theorem for cellular algebras. ⋮ Centers of Generic Hecke Algebras ⋮ Kazhdan-Lusztig immanants and products of matrix minors ⋮ On endomorphism algebras arising from multiparameter Hecke algebras ⋮ Diagonal orbits in a type a double flag variety of complexity one ⋮ An inversion formula for relative kazhdan—lusztig polynomials ⋮ On the computation of Kazhdan-Lusztig polynomials and representations of Hecke algebras ⋮ Asymptotic semigroups and two-sided weak orders ⋮ Oriented cohomology sheaves on double moment graphs ⋮ Cells in modified \(\imath\)quantum groups of type AIII and related Schur algebras ⋮ Parabolic double cosets in Coxeter groups ⋮ Quantum Schur superalgebras and Kazhdan-Lusztig combinatorics. ⋮ Probability distributions of multi-species \(q\)-TAZRP and ASEP as double cosets of parabolic subgroups ⋮ Intersections of double cosets in algebraic groups ⋮ On the dual canonical and Kazhdan-Lusztig bases and 3412-, 4231-avoiding permutations ⋮ The cross-section of a spherical double cone ⋮ Equivariant \(K\)-theory of generalized Steinberg varieties ⋮ Twisted conjugacy classes in lattices in semisimple Lie groups ⋮ THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE ⋮ Affine Hecke algebras and quantum symmetric pairs

Cites Work

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• On a theorem of Benson and Curtis
• Unipotent characters of the symplectic and odd orthogonal groups over a finite field
• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• Some q-Krawtchouk Polynomials on Chevalley Groups
• Corrections and Additions to "On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups"

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