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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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