Block Basis for Coinvariants of Modular Pseudo-reflection Groups

Abstract

As a sequel of \cite{Ou}, in this shot note, we investigate block basis for coinvariants of finite modular pseudo-reflection groups. We are particularly interested in the case where $G$ is a subgroup of the parabolic subgroups of $G{L}_n(q)$ which generalizes the Weyl groups of restricted Cartan type Lie algebra.

8 pages, correction for a typing error in Proposition 4.4