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Brauer algebras of type C are cellularly stratified

Published online by Cambridge University Press:  20 March 2012

C. Bowman
C. Bowman*
Affiliation:
Corpus Christi College, Cambridge, CB2 1RH. e-mail: c.bowman@dpmms.cam.ac.uk
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 153 , Issue 1 , July 2012 , pp. 1 - 7
Copyright
Copyright © Cambridge Philosophical Society 2012

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References

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