Spinorial representations of symmetric groups

dc.contributor.author	GANGULY, JYOTIRMOY	en_US
dc.contributor.author	SPALLONE, STEVEN	en_US
dc.date.accessioned	2019-12-24T12:19:30Z
dc.date.available	2019-12-24T12:19:30Z
dc.date.issued	2020-02	en_US
dc.identifier.citation	Journal of Algebra, 544, 29-46.	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.issn	1090-266X	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4279
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2019.09.025	en_US
dc.description.abstract	A real representation ( )pi of a finite group may be regarded as a homomorphism to an orthogonal group O(V). For symmetric groups S-n, alternating groups A(n), and products S-n x S-n' of symmetric groups, we give criteria for whether it lifts to the double cover Pin(V) of O(V), in terms of character values. From these criteria we compute the second Stiefel-Whitney classes of these representations.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Symmetric groups	en_US
dc.subject	Representation theory	en_US
dc.subject	Spinoriality	en_US
dc.subject	Stiefel-Whitney class	en_US
dc.subject	Spin structure	en_US
dc.subject	Alternating groups	en_US
dc.subject	TOC-DEC-2019	en_US
dc.subject	2020	en_US
dc.title	Spinorial representations of symmetric groups	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US