Article ID Journal Published Year Pages File Type
4589218 Journal of Algebra 2006 19 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory