Codimensions of identities of solvable Lie superalgebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913469142401024 |
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| author | Zaicev, M. V. Repovš, D. D. |
| author_facet | Zaicev, M. V. Repovš, D. D. |
| contents | We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with a non-nilpotent commutator subalgebra for which PI-exponent of codimension growth exists and is an integer number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17122 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Codimensions of identities of solvable Lie superalgebras Zaicev, M. V. Repovš, D. D. Rings and Algebras 17B01 We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with a non-nilpotent commutator subalgebra for which PI-exponent of codimension growth exists and is an integer number. |
| title | Codimensions of identities of solvable Lie superalgebras |
| topic | Rings and Algebras 17B01 |
| url | https://arxiv.org/abs/2407.17122 |