Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

2012/05/15 by C. Bowman, Bowman, C., Anton Cox +3
Mathematics · #20C30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1205.3345

openalex publication_date 2012/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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