Combinatorial Gelfand models.

DOI10.1016/j.jalgebra.2008.03.030zbMath1172.20009arXiv0709.3962OpenAlexW2015704747MaRDI QIDQ949604

Ron M. Adin, Yuval Roichman, Alexander Postnikov

Publication date: 21 October 2008

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

Full work available at URL: https://arxiv.org/abs/0709.3962

zbMATH Keywords

symmetric groupsirreducible charactersdescentsIwahori-Hecke algebrasinversionsGelfand modelscharacter formulas

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (26)

Descents of \(\lambda\)-unimodal cycles in a character formula ⋮ On the number of \(\lambda\)-unimodal involutions ⋮ Jucys-Murphy elements and Grothendieck groups for generalized rook monoids ⋮ Generalized Involution Models of Projective Reflection Groups ⋮ Gelfand \(W\)-graphs for classical Weyl groups ⋮ A Gelfand model for wreath products. ⋮ Combinatorial Gelfand models for semisimple diagram algebras. ⋮ How to compute the Frobenius-Schur indicator of a unipotent character of a finite Coxeter system. ⋮ Refined Gelfand models for wreath products ⋮ Generalized involution models for wreath products. ⋮ Perfect models and Gelfand W-graphs ⋮ Involutions and the Gelfand character ⋮ Perfect models for finite Coxeter groups ⋮ Automorphisms and generalized involution models of finite complex reflection groups. ⋮ Hall-Littlewood polynomials and a Hecke action on ordered set partitions ⋮ Matrices, characters and descents ⋮ Arc permutations ⋮ Gelfand models for classical Weyl groups. ⋮ Gelfand models for diagram algebras ⋮ Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups ⋮ Isomorphisms, automorphisms, and generalized involution models of projective reflection groups. ⋮ Involutory reflection groups and their models ⋮ Strong forms of self-duality for Hopf monoids in species ⋮ \(G(\ell,k,d)\)-modules via groupoids ⋮ Spectra of Symmetrized Shuffling Operators ⋮ Character formulas and descents for the hyperoctahedral group

Cites Work

• A Gelfand model for wreath products.
• An explicit model for the complex representations of \(S_ n\)
• On a theorem of Benson and Curtis
• A construction of representations of Weyl groups
• A recursive rule for Kazhdan-Lusztig characters
• A Gel'fand model for a Weyl group of type \(B_n\).
• A Gel'fand model for a Weyl group of type \(D_n\) and the branching rules \(D_n\hookrightarrow B_n\).
• A GEL'FAND MODEL FOR THE SYMMETRIC GROUP
• Representations of Weyl groups of type B induced from centralisers of involutions
• Models and Involution Models for Wreath Products and Certain Weyl Groups
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Combinatorial Gelfand models.