Hartmann, R. and Paget, R. (2006) Young modules and filtration multiplicities for Brauer algebras. Mathematische Zeitschrift, 254 (2). pp. 333-357. ISSN 0025-5874.
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| Official URL http://dx.doi.org/10.1007/s00209-006-0950-x |
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.
| Item Type: | Article |
|---|---|
| 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: | 14 Jan 2010 13:59 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/734 (The current URI for this page, for reference purposes) |
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