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| Superderivation Algebras of Modular Lie Superalgebras of (O)-Type |
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Citation： |
Xiaoning XU,Xiaojun LI.Superderivation Algebras of Modular Lie Superalgebras of (O)-Type[J].Chinese Annals of Mathematics B,2015,36(3):447~466 |
| Page view： 904
Net amount： 932 |
Authors： |
Xiaoning XU; Xiaojun LI; |
Foundation： |
supported by the National Natural Science Foundation of China (No. 11371182), the
PhD Start-up Foundation of Liaoning University of China (No. 2012002), the Predeclaration Fund of
State Project of Liaoning University (No. 2014LDGY01). |
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| Abstract： |
The authors consider a family of finite-dimensional Lie superalgebras of O-type
over an algebraically closed field of characteristic p > 3. It is proved that the Lie superalgebras
of O-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. |
Keywords： |
Modular Lie superalgebras, Z-graded Lie superalgebras, Superderivation
algebras |
Classification： |
17B40, 17B50 |
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