Hartmann, Robert and Paget, Rowena E. (2006) Young modules and filtration multiplicities for Brauer algebras. Mathematische Zeitschrift, 254 (2). pp. 333-357. ISSN 0025-5874. (The full text of this publication is not available from this repository)
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.
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Judith Broom|
|Date Deposited:||19 Dec 2007 18:27|
|Last Modified:||03 Jun 2014 10:15|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/734 (The current URI for this page, for reference purposes)|