title: Young modules and filtration multiplicities for Brauer algebras
authors: Robert Hartmann and Rowena Paget
address: University of Leicester, Department of Mathematics, University Road, Leicester LE1 7RH, UK 

status: submitted, 2005

abstract: 
We define permutation modules and Young modules for the Brauer algebra
$B_k(r,\delta)$, 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.