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Brauer algebras of type C are cellularly stratified

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JournalMathematical Proceedings of the Cambridge Philosophical Society
DatePublished - Jul 2012
Issue number1
Volume153
Number of pages7
Pages (from-to)1-7
Original languageEnglish

Abstract

In a recent paper Cohen, Liu and Yu introduce the Brauer algebra of type C. We show that this algebra is an iterated inflation of hyperoctahedral groups, and that it is cellularly stratified. This allows us to give an indexing set of the standard modules, results on decomposition numbers, and the conditions under which the algebra is quasi-hereditary.

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Copyright 2012 Elsevier B.V., All rights reserved.

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