Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

Bowman, C., Cox, A. & De Visscher, M. (2013). Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero. Journal of Algebra, 378, pp. 80-102. doi: 10.1016/j.jalgebra.2012.12.020

Abstract

We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero.

Publication Type:	Article
Publisher Keywords:	Brauer algebra; Cyclotomic Brauer algebra; Decomposition numbers
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Mathematics