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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 Mathematics, Computer Science & Engineering > Mathematics
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