Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

A. G. Cox; C. Bowman; M. De Visscher

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Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

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arxiv 1205.3345 v1 pith:AIKQEKC5 submitted 2012-05-15 math.RT

C. Bowman , A. G. Cox , M. De Visscher This is my paper · ORCID

classification math.RT

keywords braueralgebrascharacteristiccyclotomicdecompositionnumberszeroalgebra

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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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