| ID | 68615 |
| FullText URL | |
| Author |
Nakagawa, Yuto
Mathematical Institute, Tohoku University
Nakano, Fumihiko
Mathematical Institute, Tohoku University
|
| Abstract | K. Brown [1] studied the random to top shuffle (the Tsetlin libary) by semigroup method. In this paper, (i) we extend his results to the colored permutation groups, and (ii) we consider a q-analogue of Tsetlin library which is different from what is studied in [1]. In (i), the results also extends those results for the top to random shuffle [4],[5], [6] to arbitrary distribution of choosing cards, but we still have derangement numbers in the multiplicity of each eigenvalues. In (ii), a version of q-analogue of derangement numbers by Chen-Rota [3] appears in the multiplicity of eigenvalues.
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| Keywords | Tsetlin library
Left Regular Band
colored permutation group
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| Note | Mathematics Subject Classification. Primary 35C07; Secondary 35K57.
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| Published Date | 2025-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume67
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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 | 147
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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 ©2025 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/vol67/iss1/7
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