In this paper, Jacobson’s nilpotence theorem for Lie algebras is generalized to the case of Lie superalgebras; that is, if Lie superalgebra L spanned by a nil Lie super-subset of the general linear Lie superalgebra i...In this paper, Jacobson’s nilpotence theorem for Lie algebras is generalized to the case of Lie superalgebras; that is, if Lie superalgebra L spanned by a nil Lie super-subset of the general linear Lie superalgebra is finite-dimensional, then L is triangulable on the base space.展开更多
文摘In this paper, Jacobson’s nilpotence theorem for Lie algebras is generalized to the case of Lie superalgebras; that is, if Lie superalgebra L spanned by a nil Lie super-subset of the general linear Lie superalgebra is finite-dimensional, then L is triangulable on the base space.
