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arXiv · 1208.2104

Locally loop algebras and locally affine Lie algebras

Jun Morita·Yoji Yoshii
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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.

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Jun Morita, Yoji Yoshii. 2015-05-22. Locally loop algebras and locally affine Lie algebras. https://arxiv.org/abs/1208.2104

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