Permutation modules for the symmetric group
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- by Clara Franchi, Alexander A. Ivanov and Mario Mainardis PDF
- Proc. Amer. Math. Soc. 145 (2017), 3249-3262 Request permission
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 $(3,3)$.References
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Additional Information
- Clara Franchi
- Affiliation: Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via Musei 41 I-25121 Brescia, Italy
- MR Author ID: 659086
- Email: clara.franchi@unicatt.it
- Alexander A. Ivanov
- Affiliation: Department of Mathematics, Imperial College, 180 Queen’s Gate, London, SW7 2AZ, United Kingdom
- MR Author ID: 191708
- Email: a.ivanov@imperial.ac.uk
- Mario Mainardis
- Affiliation: Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università degli Studi di Udine, via delle Scienze 206, I-33100 Udine, Italy
- MR Author ID: 313708
- Email: mario.mainardis@uniud.it
- Received by editor(s): June 8, 2016
- Received by editor(s) in revised form: September 5, 2016
- Published electronically: January 25, 2017
- Communicated by: Pham Huu Tiep
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3249-3262
- MSC (2010): Primary 20C30, 20C15
- DOI: https://doi.org/10.1090/proc/13474
- MathSciNet review: 3652780