Abstract
Local superderivations on Cartan type Lie superalgebras
Highlights
Lie superalgebras, as a generalization of Lie algebras, came from supersymmetry in mathematical physics. They have promoted the development of Lie algebra, combinatorial mathematics, vertex operator algebra, differential manifold, topology, Lie groups, etc
Since all finite dimensional simple Lie superalgebras over an algebraically closed field of characteristic zero consist of classical Lie superalgebras and Cartan type Lie superalgebras, Cartan type Lie superalgebras have a place in the Lie superalgebras
The main result in this paper is a complete characterization of the local superderivations on L: we show that every local superderivation is a superderivation for a Cartan type Lie superalgebra
Summary
As a generalization of Lie algebras, came from supersymmetry in mathematical physics. Lie superalgebras; Cartan type Lie superalgebras; superderivations; local superderivations; linear 2-local superderivations. We are interested in determining all local superderivations and linear 2-local superderivations on Cartan type Lie superalgebras over C. The main result in this paper is a complete characterization of the local superderivations on L: we show that every local superderivation is a superderivation for a Cartan type Lie superalgebra.
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