Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstructions to symplectic double extension, which we fully describe. We found a necessary condition for which a restricted qua...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212014 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras. Sofiane Bouarroudj, Quentin Ehret and Yoshiaki Maeda. SIGMA 19 (2023), 070, 29 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745368003870720 |
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| author | Bouarroudj, Sofiane Ehret, Quentin Maeda, Yoshiaki |
| author_facet | Bouarroudj, Sofiane Ehret, Quentin Maeda, Yoshiaki |
| citation_txt | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras. Sofiane Bouarroudj, Quentin Ehret and Yoshiaki Maeda. SIGMA 19 (2023), 070, 29 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstructions to symplectic double extension, which we fully describe. We found a necessary condition for which a restricted quasi-Frobenius Lie superalgebra is a symplectic double extension of a smaller restricted Lie superalgebra. The constructions are illustrated with a few examples.
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| first_indexed | 2026-04-17T19:00:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212014 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T19:00:15Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bouarroudj, Sofiane Ehret, Quentin Maeda, Yoshiaki 2026-01-22T09:18:11Z 2023 Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras. Sofiane Bouarroudj, Quentin Ehret and Yoshiaki Maeda. SIGMA 19 (2023), 070, 29 pages 1815-0659 2020 Mathematics Subject Classification: 17B50; 17B20 arXiv:2301.12385 https://nasplib.isofts.kiev.ua/handle/123456789/212014 https://doi.org/10.3842/SIGMA.2023.070 In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstructions to symplectic double extension, which we fully describe. We found a necessary condition for which a restricted quasi-Frobenius Lie superalgebra is a symplectic double extension of a smaller restricted Lie superalgebra. The constructions are illustrated with a few examples. We are grateful for the valuable feedback we received from the referees, which enabled us to significantly improve the presentation of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras Article published earlier |
| spellingShingle | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras Bouarroudj, Sofiane Ehret, Quentin Maeda, Yoshiaki |
| title | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras |
| title_full | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras |
| title_fullStr | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras |
| title_full_unstemmed | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras |
| title_short | Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras |
| title_sort | symplectic double extensions for restricted quasi-frobenius lie (super)algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212014 |
| work_keys_str_mv | AT bouarroudjsofiane symplecticdoubleextensionsforrestrictedquasifrobeniusliesuperalgebras AT ehretquentin symplecticdoubleextensionsforrestrictedquasifrobeniusliesuperalgebras AT maedayoshiaki symplecticdoubleextensionsforrestrictedquasifrobeniusliesuperalgebras |