Paget, Rowena E. (2007) A family of modules with Specht and dual Specht filtrations. Journal of Algebra, 312 (2). pp. 880-890. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2007.03.022) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:2146)
PDF (A Family of Modules)
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2007.03.022 |
Abstract
We study the permutation module arising from the action of the symmetric group S-2n, on the conjugacy class of fixed-point-free involutions, defined over an arbitrary field. The indecomposable direct summands of these modules are shown to possess filtrations by Specht modules and also filtrations by dual Specht modules. We see that these provide counterexamples to a conjecture by Hemmer. Twisted permutation modules are also considered, as is an application to the Brauer algebra.
Item Type: | Article |
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DOI/Identification number: | 10.1016/j.jalgebra.2007.03.022 |
Uncontrolled keywords: | symmetric group; Specht module; filtration; Brauer algebra |
Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Stephen Holland |
Date Deposited: | 19 Dec 2007 19:29 UTC |
Last Modified: | 16 Nov 2021 09:40 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/2146 (The current URI for this page, for reference purposes) |
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