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The abelian subalgebras of maximal dimensions for general linear Lie superalgebras
Authors:Shujuan Wang
Affiliation:Department of Mathematics, Harbin Institute of Technology, Harbin, China.
Abstract:
Over an algebraically closed field of characteristic zero, all the abelian subalgebras of maximal dimensions for the general linear Lie superalgebras are classified in the sense of conjugation. As a consequence, the minimal faithful representations are determined for the so-called nice abelian Lie superalgebras.
Keywords:faithful representation  abelian Lie superalgebra  general linear Lie superalgebra
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