2010•Journal of Northeast Normal UniversityRequires access

The derivation superalgebra of M-graded generalized Lie superalgebra H(n)

Yongzheng Zhang

Abstract

In this paper,first define M-graded generalized Lie superalgebra H(n),and prove that M-graded generalized Lie superalgebra H(n) is Z-graded,then describe the Z-graded elements of derivation superalgebra of H(n).Furthermore,the derivation superalgebra of M-graded generalized Lie superalgebra H(n) is determined.

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Available abstract

Key concepts: Lie superalgebra, Supermatrix, Superalgebra, Mathematics, Pure mathematics, Algebra over a field, Current algebra, Affine Lie algebra