A Construction of Coxeter Group Representations (II)
Representation Theory
2007-05-23 v3 Combinatorics
Abstract
An axiomatic approach to the representation theory of Coxeter groups and their Hecke algebras was presented in [1]. 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.
Cite
@article{arxiv.math/0412506,
title = {A Construction of Coxeter Group Representations (II)},
author = {Ron M. Adin and Francesco Brenti and Yuval Roichman},
journal= {arXiv preprint arXiv:math/0412506},
year = {2007}
}
Comments
24 pages, shorter background; to appear in J. Algebra