A Construction of Coxeter Group Representations (II)

Details A Construction of Coxeter Group Representations (II) A Construction of Coxeter Group Representations (II)

2004-12-28

arxiv.org/abs/math/0412506v3

Mathematics

Representation Theory

24 pages, shorter background; to appear in J. Algebra

Scientific paper

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.

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