Representation theory of skew braces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913576996831232 |
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| author | Kozakai, Yuta Tsang, Cindy |
| author_facet | Kozakai, Yuta Tsang, Cindy |
| contents | According to Letourmy and Vendramin, a representation of a skew brace is a pair of representations on the same vector space, one for the additive group and the other for the multiplicative group, that satisfies a certain compatibility condition. Following their definition, we shall explain how some of the results from representation theory of groups, such as Maschke's theorem and Clifford's theorem, extend naturally to that of skew braces. We shall also give some concrete examples to illustrate that skew brace representations are more difficult to classify than group representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08662 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Representation theory of skew braces Kozakai, Yuta Tsang, Cindy Representation Theory Group Theory Quantum Algebra 20C15, 20C20, 20C05, 16T25 According to Letourmy and Vendramin, a representation of a skew brace is a pair of representations on the same vector space, one for the additive group and the other for the multiplicative group, that satisfies a certain compatibility condition. Following their definition, we shall explain how some of the results from representation theory of groups, such as Maschke's theorem and Clifford's theorem, extend naturally to that of skew braces. We shall also give some concrete examples to illustrate that skew brace representations are more difficult to classify than group representations. |
| title | Representation theory of skew braces |
| topic | Representation Theory Group Theory Quantum Algebra 20C15, 20C20, 20C05, 16T25 |
| url | https://arxiv.org/abs/2405.08662 |