A construction of Coxeter group representations (II)

Ron M. Adin, Francesco Brenti, Yuval Roichman

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Abstract

An axiomatic approach to the representation theory of Coxeter groups and their Hecke algebras was presented in [R.M. Adin, F. Brenti, Y. Roichman, A unified construction of Coxeter group representations (I), Adv. Appl. Math., in press, arXiv: math.RT/0309364]. Combinatorial aspects of this construction are studied in this paper. In particular, the symmetric group case is investigated in detail. The resulting representations are completely classified and include the irreducible ones.

Original languageEnglish
Pages (from-to)208-226
Number of pages19
JournalJournal of Algebra
Volume306
Issue number1
DOIs
StatePublished - 1 Dec 2006

Bibliographical note

Funding Information:
✩ Research of all authors was supported in part by the Israel Science Foundation, founded by the Israel Academy of Sciences and Humanities and by the ECs IHRP Programme, within the Research Training Network “Algebraic Combinatorics in Europe,” Grant HPRN-CT-2001-00272. * Corresponding author. E-mail addresses: radin@math.biu.ac.il (R.M. Adin), brenti@mat.uniroma2.it (F. Brenti), yuvalr@math.biu.ac.il (Y. Roichman).

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