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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.08310 |
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| _version_ | 1866914917929451520 |
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| author | Stava, Jonatan |
| author_facet | Stava, Jonatan |
| contents | Consider the smooth sections of the tangent bundle of a reductive homogeneous space. This is a vector space over the field of real numbers. The canonical connection acts as a linear binary operator on this vector space, making it an algebra. If we include another binary operator defined as the negative of the torsion, the resulting algebraic structure is a post-Lie-Yamaguti algebra. This structure is closely related to Lie-Yamaguti algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08310 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Connection Algebra of Reductive Homogeneous Spaces Stava, Jonatan Differential Geometry 53C05, 17D99, 53C30, 05C05 Consider the smooth sections of the tangent bundle of a reductive homogeneous space. This is a vector space over the field of real numbers. The canonical connection acts as a linear binary operator on this vector space, making it an algebra. If we include another binary operator defined as the negative of the torsion, the resulting algebraic structure is a post-Lie-Yamaguti algebra. This structure is closely related to Lie-Yamaguti algebras. |
| title | The Connection Algebra of Reductive Homogeneous Spaces |
| topic | Differential Geometry 53C05, 17D99, 53C30, 05C05 |
| url | https://arxiv.org/abs/2310.08310 |