Representations of symmetric groups with non-trivial determinant

Prasad, Amritanshu; SPALLONE, STEVEN; Ayyer, Arvind

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dc.contributor.author	Ayyer, Arvind	en_US
dc.contributor.author	Prasad, Amritanshu	en_US
dc.contributor.author	SPALLONE, STEVEN	en_US
dc.date.accessioned	2019-07-01T05:38:41Z
dc.date.available	2019-07-01T05:38:41Z
dc.date.issued	2017-08	en_US
dc.identifier.citation	Journal of Combinatorial Theory Series A, 150, 208-232.	en_US
dc.identifier.issn	0097-3165	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3362
dc.identifier.uri	https://doi.org/10.1016/j.jcta.2017.03.004	en_US
dc.description.abstract	We give a closed formula for the number of partitions A of n such that the corresponding irreducible representation V-lambda of S-n has non-trivial determinant. We determine how many of these partitions are self-conjugate and how many are hooks. This is achieved by characterizing the 2-core towers of such partitions. We also obtain a formula for the number of partitions of n such that the associated permutation representation of S-n has non-trivial determinant.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Representations	en_US
dc.subject	Symmetric groups	en_US
dc.subject	Non-trivial determinant	en_US
dc.subject	Symmetric group	en_US
dc.subject	Irreducible representations	en_US
dc.subject	Permutation representations	en_US
dc.subject	Determinants Core	en_US
dc.subject	Quotients Core	en_US
dc.subject	Towers Bell numbers	en_US
dc.subject	2017	en_US
dc.title	Representations of symmetric groups with non-trivial determinant	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Combinatorial Theory Series A	en_US
dc.publication.originofpublisher	Foreign	en_US