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VOL. 28 | 2000 On Permutation Statistics and Hecke Algebra Characters
Yuval Roichman

Editor(s) Kazuhiko Koike, Masaki Kashiwara, Soichi Okada, Itaru Terada, Hiro-Fumi Yamada

Abstract

Irreducible characters of Hecke algebras of type $A$ may be represented as refined counts of simple statistics on suitable subsets of permutations. Such formulas have been generalized to characters of other Coxeter groups and their Hecke algebras and to coinvariant algebras. In this paper we present several formulas, applications to combinatorial identities, and related problems. New results are given with proofs.

Information

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

zbMATH: 1005.20008
MathSciNet: MR1864485

Digital Object Identifier: 10.2969/aspm/02810287

Rights: Copyright © 2000 Mathematical Society of Japan

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