Permutation modules for the symmetric group

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Title: Permutation modules for the symmetric group
Author(s): Franchi, C
Ivanov, AA
Mainardis, M
Item Type: Journal Article
Abstract: In this paper we present a general method for computing the irreducible components of the permutation modules of the symmetric groups over a field $ F$ of characteristic 0. We apply this machinery to determine the decomposition into irreducible submodules of the $ F[S_n]$-permutation module on the right cosets of the normaliser in $ S_n$ of the subgroup generated by a permutation of type $ (3,3)$.
Publication Date: 25-Jan-2017
Date of Acceptance: 9-Oct-2016
URI: http://hdl.handle.net/10044/1/43292
DOI: https://dx.doi.org/10.1090/proc/13474
ISSN: 0002-9939
Publisher: American Mathematical Society
Start Page: 3249
End Page: 3262
Journal / Book Title: Proceedings of the American Mathematical Society
Volume: 145
Copyright Statement: © 2016 American Mathematical Society. Embargoed until publication. This work is accepted for publication in the Proceedings of the American Mathematical Society in 2016, published by the American Mathematical Society.
Keywords: 0101 Pure Mathematics
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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