On extensions of Frobenius-Kähler and Sasakian Lie algebras
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913690071072768 |
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| author | Rodríguez-Vallarte, M. C. Salgado, G. Sánchez-Valenzuela, O. A. |
| author_facet | Rodríguez-Vallarte, M. C. Salgado, G. Sánchez-Valenzuela, O. A. |
| contents | Extensions of Lie algebras equipped with Sasakian or Frobenius-Kähler geometrical structures are studied. Conditions are given so that a double extension of a Sasakian Lie algebra be Sasakian again. Conditions are also given for obtaining either a Sasakian or a Frobernius-Kähler Lie algebra upon respectively extending a Frobernius-Kähler or a Sasakian Lie algebra by adjoining a derivation of the source algebra. Low-dimensional examples are included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11236 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On extensions of Frobenius-Kähler and Sasakian Lie algebras Rodríguez-Vallarte, M. C. Salgado, G. Sánchez-Valenzuela, O. A. Rings and Algebras Differential Geometry Primary: 17Bxx, 17B05, 22E60, 53C25. Secondary: 17B40, 53C30, 53C35, 53D05, 53D10, 53D15 Extensions of Lie algebras equipped with Sasakian or Frobenius-Kähler geometrical structures are studied. Conditions are given so that a double extension of a Sasakian Lie algebra be Sasakian again. Conditions are also given for obtaining either a Sasakian or a Frobernius-Kähler Lie algebra upon respectively extending a Frobernius-Kähler or a Sasakian Lie algebra by adjoining a derivation of the source algebra. Low-dimensional examples are included. |
| title | On extensions of Frobenius-Kähler and Sasakian Lie algebras |
| topic | Rings and Algebras Differential Geometry Primary: 17Bxx, 17B05, 22E60, 53C25. Secondary: 17B40, 53C30, 53C35, 53D05, 53D10, 53D15 |
| url | https://arxiv.org/abs/2408.11236 |