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Lyle, Sinéad 
ORCID: https://orcid.org/0000-0002-6032-7721 and Mathas, Andrew
(2005)
Row and column removal theorems for homomorphisms of Specht modules and Weyl modules.
Journal of Algebraic Combinatorics, 22 (2).
pp. 151-179.
ISSN 0925-9899
Abstract
Let k be a field of prime characteristic p and E an n-dimensional vector space. We completely describe the tensor space E ?r viewed as a module for the Brauer algebra B k (r,d) with parameter d=2 and n=2. This description shows that while the tensor space still affords Schur–Weyl duality, it typically is not filtered by cell modules, and thus will not be equal to a direct sum of Young modules as defined in Hartmann and Paget (Math Z 254:333–357, 2006). This is very different from the situation for group algebras of symmetric groups. Other results about the representation theory of these Brauer algebras are obtained, including a new description of a certain class of irreducible modules in the case when the characteristic is two.
| Item Type: | Article |
|---|---|
| Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory |
| Depositing User: | Vishal Gautam |
| Date Deposited: | 18 Mar 2011 14:52 |
| Last Modified: | 07 Nov 2024 12:34 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/20728 |
| DOI: | 10.1007/s10801-005-2511-5 |
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