中文

Generalized descent algebras

组合数学 2007-05-23 v1 群论

摘要

If AA is a subset of the set of reflections of a finite Coxeter group WW, we define a sub-Z{\mathbb{Z}}-module DA(W){\mathcal{D}}_A(W) of the group algebra ZW{\mathbb{Z}} W. We provide examples where this submodule is a subalgebra. This family of subalgebras includes strictly the Solomon descent algebra and, if WW if of type BB, the Mantaci-Reutenauer algebra.

关键词

引用

@article{arxiv.math/0501099,
  title  = {Generalized descent algebras},
  author = {Cedric Bonnafe and Christophe Hohlweg},
  journal= {arXiv preprint arXiv:math/0501099},
  year   = {2007}
}