English

Locally loop algebras and locally affine Lie algebras

Rings and Algebras 2015-05-25 v3

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.

Keywords

Cite

@article{arxiv.1208.2104,
  title  = {Locally loop algebras and locally affine Lie algebras},
  author = {Jun Morita and Yoji Yoshii},
  journal= {arXiv preprint arXiv:1208.2104},
  year   = {2015}
}