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摘要: |
本文研究了Heisenberg李(超)代数的自同构群.利用Heisenberg李(超)代数与线性李(超)代数之间的同构,获得了Heisenberg李(超)代数的自同构群的子群,包括内自同构群、中心自同构群、对合自同构群. |
关键词: Heisenberg李代数 Heisenberg李超代数 自同构群 |
DOI: |
分类号:O152.5 |
基金项目:黑龙江省教育厅科学技术项目(12541246). |
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THE AUTOMORPHISM GROUPS OF HEISENBERG LIE (SUPER)ALGBRAS |
LIU Lei,TANG Li-ming
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Abstract: |
In this paper, we study the automorphism groups of Heisenberg Lie (super) algebras. By using the isomorphisms between Heisenberg Lie (super)algebras and linear Lie (super)algebras, subgroups of automorphism groups of Heisenberg Lie (super)algebras are obtained, including inner automorphism groups, central automorphism groups, involutionary automorphism groups. |
Key words: Heisenberg Lie algebras Heisenberg Lie superalgebras automorphism groups |