Mathematical Proceedings of the Cambridge Philosophical Society

Table of Contents - July 2012 - Volume 153, Issue 01  

Research Article

Brauer algebras of type C are cellularly stratified

C. Bowmana1

a1 Corpus Christi College, Cambridge, CB2 1RH. e-mail: c.bowman@dpmms.cam.ac.uk

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.

(Received March 01 2011)

(Revised November 01 2011)

(Online publication March 20 2012)