By means of generators, superderivations are completely determined for a family of Lie superalgebras of special type, the tensor products of the exterior algebras and the finite-dimensional special Lie algebras over a...By means of generators, superderivations are completely determined for a family of Lie superalgebras of special type, the tensor products of the exterior algebras and the finite-dimensional special Lie algebras over a field of characteristic p〉3. In particular, the structure of the outer superderivation algebra is concretely formulated and the dimension of the first cohomology group is given.展开更多
In this paper, we prove that every local superderivation on basic classical Lie superalgebras except for A（1, 1） over the complex number field C is a superderivation. Furthermore, we give an example of a class of ni...In this paper, we prove that every local superderivation on basic classical Lie superalgebras except for A（1, 1） over the complex number field C is a superderivation. Furthermore, we give an example of a class of nilpotent Lie superalgebras with local superderivations which are not superderivations.展开更多
文摘By means of generators, superderivations are completely determined for a family of Lie superalgebras of special type, the tensor products of the exterior algebras and the finite-dimensional special Lie algebras over a field of characteristic p〉3. In particular, the structure of the outer superderivation algebra is concretely formulated and the dimension of the first cohomology group is given.
基金Supported by the National Natural Science Foundation of China （Grant No. 11471090）.
文摘In this paper, we prove that every local superderivation on basic classical Lie superalgebras except for A（1, 1） over the complex number field C is a superderivation. Furthermore, we give an example of a class of nilpotent Lie superalgebras with local superderivations which are not superderivations.
