0-Hecke algebras

Source abstract

Abstract The structure of a 0-Hecke algebra H of type ( W, R ) over a field is examined. H has 2 n 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 n indecomposable left ideals, in a similar way to Solomon's (1968) decomposition of the underlying Coxeter group W .