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Superderivation Algebras of Modular Lie Superalgebras of ■-Type 被引量:2
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作者 Xiaoning XU Xiaojun LI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2015年第3期447-466,共20页
The authors consider a family of finite-dimensional Lie superalgebras of C-type over an algebraically closed field of characteristic p 〉 3. It is proved that the Lie superalgebras of C-type are simple and the spannin... The authors consider a family of finite-dimensional Lie superalgebras of C-type over an algebraically closed field of characteristic p 〉 3. It is proved that the Lie superalgebras of C-type are simple and the spanning sets are determined. Then the spanning sets are employed to characterize the superderivation algebras of these Lie superalgebras. Finally, the associative forms are discussed and a comparison is made between these Lie superalgebras and other simple Lie superalgebras of Cartan type. 展开更多
关键词 Modular Lie superalgebras Z-graded Lie superalgebras superderivationalgebras
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