A recursive rule for Kazhdan-Lusztig characters

DOI10.1006/aima.1996.1629zbMath0889.20023OpenAlexW1967684354MaRDI QIDQ1362166

Yuval Roichman

Publication date: 24 June 1998

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1996.1629

zbMATH Keywords

Hecke algebrasparabolic subgroupsgroup algebrasCoxeter groupscharactersMurnaghan-Nakayama ruleCoxeter elementsweighted sums of Kazhdan-Lusztig elements

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Descents of \(\lambda\)-unimodal cycles in a character formula, On the number of \(\lambda\)-unimodal involutions, The computational complexity of rules for the character table of \(S_n\)., A Gelfand model for wreath products., On irreducible characters of the Iwahori-Hecke algebra in type \(A\), Involutions and the Gelfand character, Matrices, characters and descents, Combinatorial Gelfand models., Arc permutations, Induction and restriction of Kazhdan-Lusztig cells, \(P\)-partitions and \(p\)-positivity, Power sum expansion of chromatic quasisymmetric functions, Hecke algebra actions on the coinvariant algebra, Robinson--Schensted--Knuth insertion and characters of cyclotomic Hecke algebras, Character formulas for \(q\)-rook monoid algebras, Character formulas and descents for the hyperoctahedral group

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