Rectangular Hall-Littlewood symmetric functions and a specific spin character
| 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 |
英語
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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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