Minimal Polynomials in Spin Representations of Symmetric and Alternating Groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909978678263808 |
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| author | Prasad, Amritanshu S, Velmurugan Staroletov, Alexey |
| author_facet | Prasad, Amritanshu S, Velmurugan Staroletov, Alexey |
| contents | We determine the minimal polynomial of each element of the double cover $G$ of the symmetric or alternating group in every irreducible spin representation of $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24158 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal Polynomials in Spin Representations of Symmetric and Alternating Groups Prasad, Amritanshu S, Velmurugan Staroletov, Alexey Representation Theory Combinatorics Group Theory 20C30, 20C15, 05E10, 05E05 We determine the minimal polynomial of each element of the double cover $G$ of the symmetric or alternating group in every irreducible spin representation of $G$. |
| title | Minimal Polynomials in Spin Representations of Symmetric and Alternating Groups |
| topic | Representation Theory Combinatorics Group Theory 20C30, 20C15, 05E10, 05E05 |
| url | https://arxiv.org/abs/2512.24158 |