Cohomologies of Reynolds Lie-Yamaguti algebras of any weight and applications
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_ | 1866910494095310848 |
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| author | Teng, Wen Guo, Shuangjian |
| author_facet | Teng, Wen Guo, Shuangjian |
| contents | The purpose of the present paper is to investigate cohomologies of Reynolds Lie-Yamaguti algebras of any weight and provide some applications. First, we introduce the notion of Reynolds Lie-Yamaguti algebras and give some new examples. Moreover, cohomologies of Reynolds operators and Reynolds Lie-Yamaguti algebras with coefficients in a suitable representation are established. Finally, formal deformations and abelian extensions of Reynolds Lie-Yamaguti algebras are characterized in terms of lower degree cohomology groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12859 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomologies of Reynolds Lie-Yamaguti algebras of any weight and applications Teng, Wen Guo, Shuangjian Rings and Algebras 17B38, 17B60, 17B56, 17D99 The purpose of the present paper is to investigate cohomologies of Reynolds Lie-Yamaguti algebras of any weight and provide some applications. First, we introduce the notion of Reynolds Lie-Yamaguti algebras and give some new examples. Moreover, cohomologies of Reynolds operators and Reynolds Lie-Yamaguti algebras with coefficients in a suitable representation are established. Finally, formal deformations and abelian extensions of Reynolds Lie-Yamaguti algebras are characterized in terms of lower degree cohomology groups. |
| title | Cohomologies of Reynolds Lie-Yamaguti algebras of any weight and applications |
| topic | Rings and Algebras 17B38, 17B60, 17B56, 17D99 |
| url | https://arxiv.org/abs/2406.12859 |