Minimal dimensions of faithful representations for abelian Lie superalgebras |
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| Authors: | Shujuan Wang |
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| Affiliation: | Department of Mathematics, Harbin Institute of Technology, Harbin, China. |
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| Abstract: | This paper determines the minimal dimensions of faithful representations for abelian Lie superalgebras of finite dimensions over an algebraically closed field of characteristic zero. In particular, we also obtain the maximal dimensions of abelian subalgebras for the general linear Lie superalgebras. |
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| Keywords: | Lie superalgebra faithful representation minimal dimension |
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