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Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

Bowman, C., Cox, A. and 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 Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/2081
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