On the Lie algebra of a Malcev algebra
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912115014500352 |
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| author | Oyadare, Olufemi O. |
| author_facet | Oyadare, Olufemi O. |
| contents | This paper develops the structure theory of a Malcev algebra via the consideration of its most important and largest Lie (sub-) algebra. We introduce the notion of a Lie algebra which uniquely corresponds to a Malcev algebra and use this correspondence to derive some basic properties of some types of ideals in the Malcev algebra. We then prove the exact nature of the root-space decomposition of a Malcev algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14592 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Lie algebra of a Malcev algebra Oyadare, Olufemi O. Rings and Algebras 17D10, 17B05, 17B22 This paper develops the structure theory of a Malcev algebra via the consideration of its most important and largest Lie (sub-) algebra. We introduce the notion of a Lie algebra which uniquely corresponds to a Malcev algebra and use this correspondence to derive some basic properties of some types of ideals in the Malcev algebra. We then prove the exact nature of the root-space decomposition of a Malcev algebra. |
| title | On the Lie algebra of a Malcev algebra |
| topic | Rings and Algebras 17D10, 17B05, 17B22 |
| url | https://arxiv.org/abs/2406.14592 |