Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909901865877504 |
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| author | Ren, Qingyan Tang, Liming |
| author_facet | Ren, Qingyan Tang, Liming |
| contents | This is the second paper in our series of papers dedicated to the study of the generalized loop Heisenberg-Virasoro algebra. The first paper is dedicated to the study of maps on the generalized loop Heisenberg-Virasoro algebra, including derivations, $2$-local derivations, biderivations the automorphism groups. The present paper is dedicated to the study of the second cohomology groups and left-symmetric algebraic structures on the generalized loop Heisenberg-Virasoro algebra. We describe the second cohomology group and left-symmetric algebra structures on the generalized loop Heisenberg-Virasoro algebra by use of the Witt algebras being Lie subalgebra of the generalized loop Heisenberg-Virasoro algebra up to isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra Ren, Qingyan Tang, Liming Rings and Algebras This is the second paper in our series of papers dedicated to the study of the generalized loop Heisenberg-Virasoro algebra. The first paper is dedicated to the study of maps on the generalized loop Heisenberg-Virasoro algebra, including derivations, $2$-local derivations, biderivations the automorphism groups. The present paper is dedicated to the study of the second cohomology groups and left-symmetric algebraic structures on the generalized loop Heisenberg-Virasoro algebra. We describe the second cohomology group and left-symmetric algebra structures on the generalized loop Heisenberg-Virasoro algebra by use of the Witt algebras being Lie subalgebra of the generalized loop Heisenberg-Virasoro algebra up to isomorphism. |
| title | Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2511.10970 |