Let R be a commutative ring containing 1, T（R） is a non-Abelian group defined by the following.Generators: x<sub>ij</sub>（a）, i【j, i, j=1, 2,…, n, a∈R.
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
文摘Let R be a commutative ring containing 1, T（R） is a non-Abelian group defined by the following.Generators: x<sub>ij</sub>（a）, i【j, i, j=1, 2,…, n, a∈R.
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).
