Infinite-Dimensional Modular Lie Superalgebra Ω
All ad-nilpotent elements of the infinite-dimensional Lie superalgebra Ω over a field of positive characteristic are determined. The natural filtration of the Lie superalgebra Ω is proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtai...
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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/10.1155/2013/923101 |
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| _version_ | 1832545639918993408 |
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| author | Xiaoning Xu Bing Mu |
| author_facet | Xiaoning Xu Bing Mu |
| author_sort | Xiaoning Xu |
| collection | DOAJ |
| description | All ad-nilpotent elements of the infinite-dimensional Lie superalgebra Ω over a field of positive characteristic are determined. The natural filtration of the Lie superalgebra Ω is proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition of Ω are intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebra Ω in the sense of isomorphism. |
| format | Article |
| id | doaj-art-40d69a71aa30480583e081468f70e631 |
| 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-40d69a71aa30480583e081468f70e6312025-02-03T07:25:07ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/923101923101Infinite-Dimensional Modular Lie Superalgebra ΩXiaoning Xu0Bing Mu1School of Mathematics, Liaoning University, Shenyang 110036, ChinaSchool of Mathematics, Liaoning University, Shenyang 110036, ChinaAll ad-nilpotent elements of the infinite-dimensional Lie superalgebra Ω over a field of positive characteristic are determined. The natural filtration of the Lie superalgebra Ω is proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition of Ω are intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebra Ω in the sense of isomorphism.http://dx.doi.org/10.1155/2013/923101 |
| spellingShingle | Xiaoning Xu Bing Mu Infinite-Dimensional Modular Lie Superalgebra Ω Abstract and Applied Analysis |
| title | Infinite-Dimensional Modular Lie Superalgebra Ω |
| title_full | Infinite-Dimensional Modular Lie Superalgebra Ω |
| title_fullStr | Infinite-Dimensional Modular Lie Superalgebra Ω |
| title_full_unstemmed | Infinite-Dimensional Modular Lie Superalgebra Ω |
| title_short | Infinite-Dimensional Modular Lie Superalgebra Ω |
| title_sort | infinite dimensional modular lie superalgebra ω |
| url | http://dx.doi.org/10.1155/2013/923101 |
| work_keys_str_mv | AT xiaoningxu infinitedimensionalmodularliesuperalgebraō AT bingmu infinitedimensionalmodularliesuperalgebraō |