Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero

Bowman, C. & Cox, A. (2014). Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero. Journal of Pure and Applied Algebra, 218(6), pp. 992-1002. doi: 10.1016/j.jpaa.2013.10.014

Abstract

We introduce Brauer algebras associated to complex reflection groups of type $G(m,p,n)$, and study their representation theory via Clifford theory. In particular, we determine the decomposition numbers of these algebras in characteristic zero.