Article ID Journal Published Year Pages File Type
4584129 Journal of Algebra 2015 64 Pages PDF
Abstract

In this study, we investigate a new class of Lie algebras, i.e., tame locally extended affine Lie algebras of nullity 1, which are an infinite-rank analog of affine Lie algebras. This type of algebra is called a locally affine Lie algebra. A certain ideal of a locally affine Lie algebra, called a core, is a universal extension of a local version of a loop algebra, which is called a locally loop algebra. We classify locally loop algebras and locally affine Lie algebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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