ID | 60870 |
FullText URL | |
Author |
Aokage, Kazuya
Department of Mathematics, National Institute of Technology, Ariake College
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Abstract | We derive the Schur function identities coming from the tensor products of the spin representations of the symmetric group Sn. We deal with the tensor products of the basic spin representation V (n) and any spin representation V λ (λ ∈ SP (n)). The characteristic map
of the tensor product ζn ⊗ ζλ is described by Stembridge[4] for the case of odd n. We consider the case n is even.
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Keywords | symmetric group
symmetric function
projective representation
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Note | Mathematics Subject Classification. 20C30, 20C25, 05E05.
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Published Date | 2021-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume63
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 133
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End Page | 151
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol63/iss1/8
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