Matsumoto theorem for skeleta
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913349714837504 |
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| author | Gorelik, Maria Hinich, Vladimir Serganova, Vera |
| author_facet | Gorelik, Maria Hinich, Vladimir Serganova, Vera |
| contents | We present a proof of a generalization of the theorem of H.~Matsumoto on Coxeter groups. Our generalized version is applicable to "graphs admitting geometric realization". The original version of the theorem for Coxeter groups is a special case when applied to the Cayley graph and the geometric representation of a Coxeter group. Our version of Matsumoto theorem is also applicable to skeleta, graphs that were defined in the recent paper by the authors on root Lie superalgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_13507 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Matsumoto theorem for skeleta Gorelik, Maria Hinich, Vladimir Serganova, Vera Representation Theory 20F55, 51F15, 17B22, 17B67 We present a proof of a generalization of the theorem of H.~Matsumoto on Coxeter groups. Our generalized version is applicable to "graphs admitting geometric realization". The original version of the theorem for Coxeter groups is a special case when applied to the Cayley graph and the geometric representation of a Coxeter group. Our version of Matsumoto theorem is also applicable to skeleta, graphs that were defined in the recent paper by the authors on root Lie superalgebras. |
| title | Matsumoto theorem for skeleta |
| topic | Representation Theory 20F55, 51F15, 17B22, 17B67 |
| url | https://arxiv.org/abs/2310.13507 |