O-Hecke Algebras

Abstract

The structure of a O-Hecke algebra H of type (W, R) over a field is examined. H has 2n distinct irreducible representations, where n = \ R |, all of which are one-dimensional, and correspond in a natural way with subsets of R. H can be written as a direct sum of 2” indecomposable left ideals, in a similar way to Solomon's (1968) decomposition of the underlying Coxeter group W. © 1979, Australian Mathematical Society. All rights reserved.