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.
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Supported by the European Community through Marie Curie fellowship MCFI 2002-01325
Supported by EPSRC grant GR/S18151/01
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Hartmann, R., Paget, R. Young modules and filtration multiplicities for Brauer algebras. Math. Z. 254, 333–357 (2006). https://doi.org/10.1007/s00209-006-0950-x
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DOI: https://doi.org/10.1007/s00209-006-0950-x