Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups. With an appendix by Pierre Baumann and Christophe Hohlweg.
This article is written neatly in a very clear way. It develops some results on Weyl groups and its consequences. After giving basic results, the authors generalize the standard concept of descent algebra. One of the valuable results that the authors come up with is constructing subalgebras from the usual group algebra of the Weyl group using a useful device which is a surjective morphim on \(\mathbb{Z}\text{-Irr}(W_n)\). The combinatorial aspect of the construction is demonstrated in a parallel way. Overall, this work is informative and profound.
irreducible characters of symmetric groups
scientific article; zbMATH DE number 5015304
scientific article