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The Core of a Locally Extended Affine Lie Algebra
Authors:Valiollah Khalili
Affiliation:1. Department of Mathematics , Faculty of Science, Arak University , Arak , Iran V-Khalili@araku.ac.ir
Abstract:Locally extended affine Lie algebras are a general version of extended affine Lie algebras. In this article, we completely describe the structure of the core of a locally extended affine Lie algebra. We prove that the core of a locally extended affine Lie algebra is a direct limit of Lie tori.
Keywords:Extended affine Lie algebras  Lie tori and locally extended affine Lie algebras
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