On signed Young permutation modules and signed p-Kostka numbers

On signed Young permutation modules and signed p-Kostka numbers

We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then prove new reduction theorems for the signed p-Kostka numbers, defined to be the multiplicities of signed Youn...

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Main Authors: Giannelli, Eugenio, Lim, Kay Jin, O’Donovan, William, Wildon, Mark
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
Permutation
Young Modules
DRNTU::Science::Mathematics
Online Access:https://hdl.handle.net/10356/88467
http://hdl.handle.net/10220/45793
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-884672023-02-28T19:35:28Z On signed Young permutation modules and signed p-Kostka numbers Giannelli, Eugenio Lim, Kay Jin O’Donovan, William Wildon, Mark School of Physical and Mathematical Sciences Permutation Young Modules DRNTU::Science::Mathematics We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then prove new reduction theorems for the signed p-Kostka numbers, defined to be the multiplicities of signed Young modules as direct summands of signed Young permutation modules. We end by classifying the indecomposable signed Young permutation modules and determining their endomorphism algebras. Published version 2018-09-03T04:33:45Z 2019-12-06T17:03:55Z 2018-09-03T04:33:45Z 2019-12-06T17:03:55Z 2017 Journal Article Giannelli, E., Lim, K. J., O’Donovan, W., & Wildon, M. (2017). On signed Young permutation modules and signed p-Kostka numbers. Journal of Group Theory, 20(4), 637–679. doi:10.1515/jgth-2017-0007 1433-5883 https://hdl.handle.net/10356/88467 http://hdl.handle.net/10220/45793 10.1515/jgth-2017-0007 en Journal of Group Theory © 2017 Walter de Gruyter GmbH. This paper was published in Journal of Group Theory and is made available as an electronic reprint (preprint) with permission of Walter de Gruyter GmbH. The published version is available at: [http://dx.doi.org/10.1515/jgth-2017-0007]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 43 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Permutation
Young Modules
DRNTU::Science::Mathematics
spellingShingle Permutation
Young Modules
DRNTU::Science::Mathematics
Giannelli, Eugenio
Lim, Kay Jin
O’Donovan, William
Wildon, Mark
On signed Young permutation modules and signed p-Kostka numbers
description We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then prove new reduction theorems for the signed p-Kostka numbers, defined to be the multiplicities of signed Young modules as direct summands of signed Young permutation modules. We end by classifying the indecomposable signed Young permutation modules and determining their endomorphism algebras.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Giannelli, Eugenio
Lim, Kay Jin
O’Donovan, William
Wildon, Mark
format Article
author Giannelli, Eugenio
Lim, Kay Jin
O’Donovan, William
Wildon, Mark
author_sort Giannelli, Eugenio
title On signed Young permutation modules and signed p-Kostka numbers
title_short On signed Young permutation modules and signed p-Kostka numbers
title_full On signed Young permutation modules and signed p-Kostka numbers
title_fullStr On signed Young permutation modules and signed p-Kostka numbers
title_full_unstemmed On signed Young permutation modules and signed p-Kostka numbers
title_sort on signed young permutation modules and signed p-kostka numbers
publishDate 2018
url https://hdl.handle.net/10356/88467
http://hdl.handle.net/10220/45793
_version_ 1759855639855628288

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