Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4279
Title: Spinorial representations of symmetric groups
Authors: GANGULY, JYOTIRMOY
SPALLONE, STEVEN
Dept. of Mathematics
Keywords: Symmetric groups
Representation theory
Spinoriality
Stiefel-Whitney class
Spin structure
Alternating groups
TOC-DEC-2019
2020
Issue Date: Feb-2020
Publisher: Elsevier B.V.
Citation: Journal of Algebra, 544, 29-46.
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.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4279
https://doi.org/10.1016/j.jalgebra.2019.09.025
ISSN: 0021-8693
1090-266X
Appears in Collections:JOURNAL ARTICLES

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