2011Journal of Shenyang University of Chemical TechnologyRequires access

Realization of Lie-supertriple System

LU Ya-nan

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Abstract

The methods based on the relationship between the Lie-triple System and the Lie algebra,we have defined a algebra by making the Kronecker product and vector space of Lie-supertriple System.And we proved the algebra was a Lie Superalgebra.Thus we proved that the relationship between the Lie-supertriple System and the Lie Superalgebra:that every Lie-supertriple System can be obtained in this way.

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What this paper is about

The methods based on the relationship between the Lie-triple System and the Lie algebra,we have defined a algebra by making the Kronecker product and vector space of Lie-supertriple System.And we proved the algebra was a Lie Superalgebra.Thus we proved that the relationship between the Lie-supertriple System and the Lie Superalgebra:that every Lie-supertriple System can be obtained in this way.

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Available abstract

The methods based on the relationship between the Lie-triple System and the Lie algebra,we have defined a algebra by making the Kronecker product and vector space of Lie-supertriple System.And we proved the algebra was a Lie Superalgebra.Thus we proved that the relationship between the Lie-supertriple System and the Lie Superalgebra:that every Lie-supertriple System can be obtained in this way.

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

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