首页|Superbiderivations of Simple Modular Lie Superalgebras of Witt Type and Special Type
Superbiderivations of Simple Modular Lie Superalgebras of Witt Type and Special Type
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维普
Let L be a simple modular Lie superealgebra of Witt type or special type over an algebraically closed field of characteristic p＞2.In this paper,all the super-biderivations of L are studied.By means of weight space decompositions with respect to a suitable torus and the standard Z-grading structures of L,we show that the super-symmetric superbiderivations of L are zero.Generalizing a result on the skewsymmetric biderivation of Lie algebras to the super case,we find that all the superbiderivations of L are inner.As applications,the linear supercommuting maps and the supercommutative post-Lie superalgebra structures on L are described.
NETL
NSTL
万方数据
维普
