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
Let G be a basic classical Lie superalgebra except A(n, n) and D(2, 1, α) over the complex number field C. Using existence of a non-degenerate invariant bilinear form and root space decomposition, we prove that every...Let G be a basic classical Lie superalgebra except A(n, n) and D(2, 1, α) over the complex number field C. Using existence of a non-degenerate invariant bilinear form and root space decomposition, we prove that every 2-local automorphism on G is an automorphism. Furthermore, we give an example of a 2-local automorphism which is not an automorphism on a subalgebra of Lie superalgebra spl(3, 3).展开更多
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.
基金supported by the National Natural Science Foundation of China(Grant No.11471090)
文摘Let G be a basic classical Lie superalgebra except A(n, n) and D(2, 1, α) over the complex number field C. Using existence of a non-degenerate invariant bilinear form and root space decomposition, we prove that every 2-local automorphism on G is an automorphism. Furthermore, we give an example of a 2-local automorphism which is not an automorphism on a subalgebra of Lie superalgebra spl(3, 3).
