Deformations of the five dimensional Heisenberg Lie algebra
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915251551731712 |
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| author | Fialowski, Alice Mandal, Ashis |
| author_facet | Fialowski, Alice Mandal, Ashis |
| contents | In this note we explicitly give all the equivalent classes of deformations of the 5-dimensional Heisenberg Lie algebra $\mathfrak{h}_2$ over complex or real number fields. We show that there are altogether 20 infinitesimal deformations (families), 18 of them being extendable to real deformations and 2 of them are only infinitesimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14647 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deformations of the five dimensional Heisenberg Lie algebra Fialowski, Alice Mandal, Ashis Quantum Algebra K-Theory and Homology 17B56, B81, B99 In this note we explicitly give all the equivalent classes of deformations of the 5-dimensional Heisenberg Lie algebra $\mathfrak{h}_2$ over complex or real number fields. We show that there are altogether 20 infinitesimal deformations (families), 18 of them being extendable to real deformations and 2 of them are only infinitesimal. |
| title | Deformations of the five dimensional Heisenberg Lie algebra |
| topic | Quantum Algebra K-Theory and Homology 17B56, B81, B99 |
| url | https://arxiv.org/abs/2504.14647 |