Lie-Yamaguti Algebra Bundle
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913835464523776 |
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| author | Goswami, Saikat Mukherjee, Goutam |
| author_facet | Goswami, Saikat Mukherjee, Goutam |
| contents | We introduce the notion of Lie-Yamaguti algebra bundle, define its cohomology groups with coefficients in a representation and show that such bundles appeared naturally from geometric considerations in the work of M. Kikkawa, which motivates us to introduce this object in the proper mathematical framework. We also study abelian extensions of Lie-Yamaguti algebra bundles and investigate their relationship with suitable cohomology group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05508 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lie-Yamaguti Algebra Bundle Goswami, Saikat Mukherjee, Goutam Rings and Algebras Differential Geometry 17A30, 17A40, 53B05, 58A05, 16E99 (Primary) We introduce the notion of Lie-Yamaguti algebra bundle, define its cohomology groups with coefficients in a representation and show that such bundles appeared naturally from geometric considerations in the work of M. Kikkawa, which motivates us to introduce this object in the proper mathematical framework. We also study abelian extensions of Lie-Yamaguti algebra bundles and investigate their relationship with suitable cohomology group. |
| title | Lie-Yamaguti Algebra Bundle |
| topic | Rings and Algebras Differential Geometry 17A30, 17A40, 53B05, 58A05, 16E99 (Primary) |
| url | https://arxiv.org/abs/2309.05508 |