The Solvabilizers and Solvable Graphs in Lie Superalgebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910033743183872 |
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| author | Zhang, Baojin Tang, Liming |
| author_facet | Zhang, Baojin Tang, Liming |
| contents | In this paper, we introduce the solvabilizer and the solvable graph for a Lie superalgebra and establish their basic properties. Then we define a category which links Lie superalgebras to their solvable substructures. Afterwards, we prove that the solvable graph is one of the isomorphic invariants of the Lie superalgebras. Furthermore, we introduce the solvability measure, which can reflect the degree of solvability of Lie superalgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22704 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Solvabilizers and Solvable Graphs in Lie Superalgebras Zhang, Baojin Tang, Liming Rings and Algebras 17B05, 17B30, 18A05 In this paper, we introduce the solvabilizer and the solvable graph for a Lie superalgebra and establish their basic properties. Then we define a category which links Lie superalgebras to their solvable substructures. Afterwards, we prove that the solvable graph is one of the isomorphic invariants of the Lie superalgebras. Furthermore, we introduce the solvability measure, which can reflect the degree of solvability of Lie superalgebras. |
| title | The Solvabilizers and Solvable Graphs in Lie Superalgebras |
| topic | Rings and Algebras 17B05, 17B30, 18A05 |
| url | https://arxiv.org/abs/2602.22704 |