Affiliation:
1. College of Mathematics and Computer Science, Hebei University, Baoding 071002, China
Abstract
The paper is mainly concerned with Tθ∗-extensions of n-Lie algebras. The Tθ∗-extension Lθ(L∗) of an n-Lie algebra L by a cocycle θ is defined, and a class of cocycles is constructed by means of linear mappings from an n-Lie algebra on to its dual space. Finally all Tθ∗-extensions of (n+1)-dimensional n-Lie algebras are classified, and the explicit multiplications are given.
Funder
National Natural Science Foundation of China
Subject
Industrial and Manufacturing Engineering,Polymers and Plastics,History,Business and International Management
Cited by
2 articles.
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