Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

Bowman, Christopher, Cox, Anton, De Visscher, Maud (2013) Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero. Journal of Algebra, 378 . pp. 80-102. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2012.12.020)

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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.

Item Type: Article 10.1016/j.jalgebra.2012.12.020 Brauer algebra, Cyclotomic Brauer algebra, Decomposition numbers Q Science > QA Mathematics (inc Computing science) Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Christopher Bowman 16 Nov 2018 11:44 UTC 30 May 2019 08:19 UTC https://kar.kent.ac.uk/id/eprint/70130 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-6046-8930