An algoritm for calculating characters of hecke algebrasHn(q) of typeAn-1whenqis a root of unity

DOI10.1080/00927879308824807zbMath0795.20024OpenAlexW2111118856MaRDI QIDQ4275271

C. J. Cummins, Ronald C. King

Publication date: 13 January 1994

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

Full work available at URL: https://doi.org/10.1080/00927879308824807

zbMATH Keywords

irreducible representationsHecke algebraFrobenius character formula

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

A recursive rule for Kazhdan-Lusztig characters ⋮ Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type

Cites Work

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• Littlewood-Richardson coefficients for Hecke algebras at roots of unity
• Realizations of *-representations of Hecke algebras and Young's orthogonal form
• Fusion rules and modular transformations in 2D conformal field theory
• Representation theory of the 0-Hecke algebra
• Hecke algebras of type \(A_ n\) and subfactors
• A Frobenius formula for the characters of the Hecke algebras
• su(n) and sp(2n) WZW fusion rules
• An algorithm for characters of Hecke algebras H_n(q) of type A_n-1
• Representations and traces of the Hecke algebras H n(q) of type A n−1
• Characters of A_n-1Hecke algebras at roots of unity
• Frobenius formula for the characters of hecke algebras of type A_n−1at roots of unity

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