Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6
In this paper, we classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank less than or equal to 6 over an algebraically closed field of characteristic zero. We also determine the covers of all the nilpotent Lie superalgebras mentioned above.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/8158426 |
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| _version_ | 1850110260432338944 |
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| author | Shuang Lang Jizhu Nan Wende Liu |
| author_facet | Shuang Lang Jizhu Nan Wende Liu |
| author_sort | Shuang Lang |
| collection | DOAJ |
| description | In this paper, we classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank less than or equal to 6 over an algebraically closed field of characteristic zero. We also determine the covers of all the nilpotent Lie superalgebras mentioned above. |
| format | Article |
| id | doaj-art-45609d634c0b4d5ba58f68b60a30bcf6 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-45609d634c0b4d5ba58f68b60a30bcf62025-08-20T02:37:52ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/81584268158426Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6Shuang Lang0Jizhu Nan1Wende Liu2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematics and Statistics, Hainan Normal University, Haikou 571158, ChinaIn this paper, we classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank less than or equal to 6 over an algebraically closed field of characteristic zero. We also determine the covers of all the nilpotent Lie superalgebras mentioned above.http://dx.doi.org/10.1155/2021/8158426 |
| spellingShingle | Shuang Lang Jizhu Nan Wende Liu Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6 Advances in Mathematical Physics |
| title | Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6 |
| title_full | Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6 |
| title_fullStr | Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6 |
| title_full_unstemmed | Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6 |
| title_short | Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6 |
| title_sort | classification of nilpotent lie superalgebras of multiplier rank less than or equal to 6 |
| url | http://dx.doi.org/10.1155/2021/8158426 |
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