Locally extended affine Lie algebras
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
We propose a new simplified definition of extended affine Lie algebras (EALAs for short), and also discuss a general version of extended affine Lie algebras, called locally extended affine Lie algebras (LEALAs for short). We prove a conjecture by V. Kac for LEALAs. It turns out that the root system of a LEALA becomes a locally finite version of extended affine root systems. Finally, several examples of new EALAs and LEALAs are introduced, and we classify LEALAs of nullity 0 with connection to locally finite split simple Lie algebras.
Cite
@article{arxiv.math/0412310,
title = {Locally extended affine Lie algebras},
author = {Jun Morita and Yoji Yoshii},
journal= {arXiv preprint arXiv:math/0412310},
year = {2007}
}
Comments
22 pages