首页|The Multiplier and Cohomology of Lie Superalgebras
The Multiplier and Cohomology of Lie Superalgebras
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Suppose that L is a Lie superalgebra over a field F of characteristic different from 2 and 3.In this paper,the so-called 5-sequence of cohomology for a central extension of L is constructed and is proved to be exact.Moreover,the multiplier of L is proved to be isomorphic to the second cohomology group with coefficients in the trivial module of L.Finally,an upper bound of the superdimension of the second cohomology group is given in the situation when L is nilpotent and finite-dimensional.
multipliercohomology5-sequence
Yang Liu、Wende Liu
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Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China
School of Mathematics and Statistics,Hainan Normal University,Haikou 571158,China
NSF of Heilongjiang Province of ChinaNSF of ChinaNSF of Hainan Province of China
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维普
