2015•Journal of Natural Science of Heilongjiang UniversityRequires access

Derivations of a class of generalized Witt type algebras

Zhou Chenhon

Abstract

Witt algebra is an important infinite dimensional Lie algebra,and it has been more widely used in every branch of Lie algebra. So far the structures and representations of some infinite dimensional Lie algebras related to Witt algebra are a significant direction of Lie algebra. The derivation algebra of a class of not-finitely graded Lie algebras related to generalized Witt type algebras is studied,and the concrete form of its derivation algebra,Der W,is given by Der W = ad WHomz( Γ,C).

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Key concepts: Witt algebra, Mathematics, Lie conformal algebra, Graded Lie algebra, Pure mathematics, Algebra over a field, Generalized Kac–Moody algebra, Universal enveloping algebra