Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m
In this paper, a finite-dimensional Lie superalgebra Kn,m over a field of prime characteristic is constructed. Then, we study some properties of Kn,m. Moreover, we prove that Kn,m is an extension of a simple Lie superalgebra, and if m=n−1, then it is isomorphic to a subalgebra of a restricted Lie su...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7069556 |
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| author | Dan Mao Keli Zheng |
| author_facet | Dan Mao Keli Zheng |
| author_sort | Dan Mao |
| collection | DOAJ |
| description | In this paper, a finite-dimensional Lie superalgebra Kn,m over a field of prime characteristic is constructed. Then, we study some properties of Kn,m. Moreover, we prove that Kn,m is an extension of a simple Lie superalgebra, and if m=n−1, then it is isomorphic to a subalgebra of a restricted Lie superalgebra. |
| format | Article |
| id | doaj-art-c796d0c5c96a4e85a9c431fc3a7ba283 |
| institution | DOAJ |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c796d0c5c96a4e85a9c431fc3a7ba2832025-08-20T03:22:57ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/70695567069556Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,mDan Mao0Keli Zheng1Department of Mathematics, School of Science, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, School of Science, Northeast Forestry University, Harbin 150040, ChinaIn this paper, a finite-dimensional Lie superalgebra Kn,m over a field of prime characteristic is constructed. Then, we study some properties of Kn,m. Moreover, we prove that Kn,m is an extension of a simple Lie superalgebra, and if m=n−1, then it is isomorphic to a subalgebra of a restricted Lie superalgebra.http://dx.doi.org/10.1155/2021/7069556 |
| spellingShingle | Dan Mao Keli Zheng Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m Journal of Mathematics |
| title | Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m |
| title_full | Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m |
| title_fullStr | Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m |
| title_full_unstemmed | Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m |
| title_short | Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m |
| title_sort | constructions and properties for a finite dimensional modular lie superalgebra kn m |
| url | http://dx.doi.org/10.1155/2021/7069556 |
| work_keys_str_mv | AT danmao constructionsandpropertiesforafinitedimensionalmodularliesuperalgebraknm AT kelizheng constructionsandpropertiesforafinitedimensionalmodularliesuperalgebraknm |