On central idempotents in the Brauer algebra

JOURNAL OF ALGEBRA

卷:512

Article

King, O. H.¹  Martin, P. P.¹  Parker, A. E.¹ 

[1] Univ Leeds, Dept Math, Leeds LS2 9JT, W Yorkshire, England

关键词: Representation theory;    Central idempotents;    Diagram algebras;    Brauer algebra;   

DOI  :  10.1016/j.jalgebra.2018.06.024

来源: Elsevier

【 摘 要 】

We provide a method for constructing central idempotents in the Brauer algebra (using the splitting of short exact sequences of bimodules). From this we determine certain primitive central idempotents. By working over a suitable integral ring we hence demonstrate an efficient method of constructing pieces of the representation theory of the Brauer algebra over Artinian rings from the integral case. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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