Realization of Lie-supertriple System
LU Ya-nan
Abstract
LU Ya-nan
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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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