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2011•Journal of MathematicsRequires access

SUPERDERIVATION ALGEBRAS FOR A FAMILY OF LIE SUPERALGEBRAS OF WITT TYPE

Wende Liu

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Abstract

This article studies the structure of the tensor product of the exterior algebra and the finite-dimensional generalized Witt algebra over a field of characteristic p3,which is a Lie superalgebra.By means of computation,the generators are first given and then the superderivation algebra is determined.This generalizes the analogous results in Lie algebras.

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What this paper is about

This article studies the structure of the tensor product of the exterior algebra and the finite-dimensional generalized Witt algebra over a field of characteristic p3,which is a Lie superalgebra.By means of computation,the generators are first given and then the superderivation algebra is determined.This generalizes the analogous results in Lie algebras.

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Available abstract

This article studies the structure of the tensor product of the exterior algebra and the finite-dimensional generalized Witt algebra over a field of characteristic p3,which is a Lie superalgebra.By means of computation,the generators are first given and then the superderivation algebra is determined.This generalizes the analogous results in Lie algebras.

Key concepts: Mathematics, Witt algebra, Lie superalgebra, Lie conformal algebra, Graded Lie algebra, Algebra over a field, Pure mathematics, Adjoint representation of a Lie algebra

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