, Volume 254, Issue 2, pp 333-357
Date: 31 Mar 2006

Young modules and filtration multiplicities for Brauer algebras

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Abstract

We define permutation modules and Young modules for the Brauer algebra B k (r,δ), and show that if the characteristic of the field k is neither 2 nor 3 then every permutation module is a sum of Young modules, respecting an ordering condition similar to that for symmetric groups. Moreover, we determine precisely in which cases cell module filtration multiplicities are well-defined, as done by Hemmer and Nakano for symmetric groups.

Supported by the European Community through Marie Curie fellowship MCFI 2002-01325
Supported by EPSRC grant GR/S18151/01