Manin triples and bialgebras of Left-Alia algebras associated to invariant theory
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909132600115200 |
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| author | Chuangchuang, Kang Guilai, Liu Zhuo, Wang Shizhuo, Yu |
| author_facet | Chuangchuang, Kang Guilai, Liu Zhuo, Wang Shizhuo, Yu |
| contents | A left-Alia algebra is a vector space together with a bilinear map satisfying symmetric Jocobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notion of Manin triples and bialgebras of left-Alia algebras. Via specific matched pairs of left-Alia algebras, we figure out the equivalence between Manin triples and bialgebras of left-Alia algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05339 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Manin triples and bialgebras of Left-Alia algebras associated to invariant theory Chuangchuang, Kang Guilai, Liu Zhuo, Wang Shizhuo, Yu Rings and Algebras 17A36, 17A40, 17B10, 17B40, 17B60, 17B63, 17D25 A left-Alia algebra is a vector space together with a bilinear map satisfying symmetric Jocobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notion of Manin triples and bialgebras of left-Alia algebras. Via specific matched pairs of left-Alia algebras, we figure out the equivalence between Manin triples and bialgebras of left-Alia algebras. |
| title | Manin triples and bialgebras of Left-Alia algebras associated to invariant theory |
| topic | Rings and Algebras 17A36, 17A40, 17B10, 17B40, 17B60, 17B63, 17D25 |
| url | https://arxiv.org/abs/2403.05339 |