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Paget, Rowena E. (2007)
Publisher: Academic Press Inc Elsevier Science
Journal: Journal of Algebra
Languages: English
Types: Article
Subjects: Algebra and Number Theory, QA150

Classified by OpenAIRE into

arxiv: Mathematics::Representation Theory, Mathematics::K-Theory and Homology
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.
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