Projective (or spin) representations of finite groups. II
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912005148901376 |
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| author | Tsurii, Tatsuya Yamanaka, Satoe Mikami, Itsumi Hirai, Takeshi |
| author_facet | Tsurii, Tatsuya Yamanaka, Satoe Mikami, Itsumi Hirai, Takeshi |
| contents | In the previous paper, we proposed a practical method of constructing explicitly representation groups $R(G)$ for finite groups $G$, and apply it to certain typical finite groups $G$ with Schur multiplier $M(G)$ containing prime number 3. In this paper, we construct a complete list of irreducible projective (or spin) representations of $G$ and compute their characters (called spin characters). It is a continuation of our study of spin representations in the cases where $M(G)$ contains prime number 2 to the cases where other prime $p$ appears, firstly $p=3$. We classify irreducible spin representations and calculate spin characters according to their spin types. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_03486 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projective (or spin) representations of finite groups. II Tsurii, Tatsuya Yamanaka, Satoe Mikami, Itsumi Hirai, Takeshi Representation Theory In the previous paper, we proposed a practical method of constructing explicitly representation groups $R(G)$ for finite groups $G$, and apply it to certain typical finite groups $G$ with Schur multiplier $M(G)$ containing prime number 3. In this paper, we construct a complete list of irreducible projective (or spin) representations of $G$ and compute their characters (called spin characters). It is a continuation of our study of spin representations in the cases where $M(G)$ contains prime number 2 to the cases where other prime $p$ appears, firstly $p=3$. We classify irreducible spin representations and calculate spin characters according to their spin types. |
| title | Projective (or spin) representations of finite groups. II |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2408.03486 |