Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras
Here, in every simple finite-dimensional vectorial Lie superalgebra considered with the standard grading where every indeterminate is of degree 1, the maximal graded solvable subalgebras are classified over ℂ.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2025 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/213529 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras. Irina Shchepochkina. SIGMA 21 (2025), 047, 11 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862564736656211968 |
|---|---|
| author | Shchepochkina, Irina |
| author_facet | Shchepochkina, Irina |
| citation_txt | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras. Irina Shchepochkina. SIGMA 21 (2025), 047, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Here, in every simple finite-dimensional vectorial Lie superalgebra considered with the standard grading where every indeterminate is of degree 1, the maximal graded solvable subalgebras are classified over ℂ.
|
| first_indexed | 2026-03-21T11:42:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213529 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:42:52Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Shchepochkina, Irina 2026-02-18T11:26:00Z 2025 Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras. Irina Shchepochkina. SIGMA 21 (2025), 047, 11 pages 1815-0659 2020 Mathematics Subject Classification: 17B20; 17B30 arXiv:2503.03339 https://nasplib.isofts.kiev.ua/handle/123456789/213529 https://doi.org/10.3842/SIGMA.2025.047 Here, in every simple finite-dimensional vectorial Lie superalgebra considered with the standard grading where every indeterminate is of degree 1, the maximal graded solvable subalgebras are classified over ℂ. I am thankful to A.L. Onishchik, who raised the problem, and D. Leites for their help. A part of the results of this note was announced in [12]; their proofs were sketched in Report no. 32/1988-15 of the Department of Mathematics of Stockholm University, to which I am thankful for hospitality. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras Article published earlier |
| spellingShingle | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras Shchepochkina, Irina |
| title | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras |
| title_full | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras |
| title_fullStr | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras |
| title_full_unstemmed | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras |
| title_short | Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras |
| title_sort | maximal graded solvable subalgebras of simple finite-dimensional vectorial lie superalgebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213529 |
| work_keys_str_mv | AT shchepochkinairina maximalgradedsolvablesubalgebrasofsimplefinitedimensionalvectorialliesuperalgebras |