descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2015Embargo end date: 01 Jan 2012 English Publisher:Elsevier BVJournal:Journal of Algebra, volume 440, pages 379-442 (issn: 0021-8693,

Authors: Yoji Yoshii; Jun Morita;

doi: 10.1016/j.jalgebra.2015.05.018 , 10.48550/arxiv.1208.2104

arXiv: http://arxiv.org/abs/1208.2104

Locally loop algebras and locally affine Lie algebras

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Abstract

We investigate a new class of Lie algebras, which are tame locally extended affine Lie algebras of nullity 1. It is an infinite-rank analog of affine Lie algebras, and their centerless cores are a local version of loop algebras. Such algebras are called locally affine Lie algebras and locally loop algebras. We classify both of them.

Related Organizations

University of Tsukuba
Japan
Iwate University
Japan

Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras

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