The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type
This paper is concerned with the natural filtration of Lie superalgebra S(n,m) of special type over a field of prime characteristic. We first construct the modular Lie superalgebra S(n,m). Then we prove that the natural filtration of S(n,m) is invariant under its automorphisms.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/891241 |
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| _version_ | 1832545421097959424 |
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| author | Keli Zheng Yongzheng Zhang |
| author_facet | Keli Zheng Yongzheng Zhang |
| author_sort | Keli Zheng |
| collection | DOAJ |
| description | This paper is concerned with the natural filtration of Lie superalgebra S(n,m) of special type over a field of prime characteristic. We first construct the modular Lie superalgebra S(n,m). Then we prove that the natural filtration of S(n,m) is invariant under its automorphisms. |
| format | Article |
| id | doaj-art-21c1223cfee44af38d607b878a1680e3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-21c1223cfee44af38d607b878a1680e32025-02-03T07:25:51ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/891241891241The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special TypeKeli Zheng0Yongzheng Zhang1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaThis paper is concerned with the natural filtration of Lie superalgebra S(n,m) of special type over a field of prime characteristic. We first construct the modular Lie superalgebra S(n,m). Then we prove that the natural filtration of S(n,m) is invariant under its automorphisms.http://dx.doi.org/10.1155/2013/891241 |
| spellingShingle | Keli Zheng Yongzheng Zhang The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type Abstract and Applied Analysis |
| title | The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type |
| title_full | The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type |
| title_fullStr | The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type |
| title_full_unstemmed | The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type |
| title_short | The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type |
| title_sort | natural filtration of finite dimensional modular lie superalgebras of special type |
| url | http://dx.doi.org/10.1155/2013/891241 |
| work_keys_str_mv | AT kelizheng thenaturalfiltrationoffinitedimensionalmodularliesuperalgebrasofspecialtype AT yongzhengzhang thenaturalfiltrationoffinitedimensionalmodularliesuperalgebrasofspecialtype AT kelizheng naturalfiltrationoffinitedimensionalmodularliesuperalgebrasofspecialtype AT yongzhengzhang naturalfiltrationoffinitedimensionalmodularliesuperalgebrasofspecialtype |