The Universal Central Extension of the Three-point sl_2 Loop Algebra
Rings and Algebras
2016-09-07 v1 Mathematical Physics
math.MP
Abstract
We give a presentation of the universal central extension of the three-point loop algebra L over sl_2 by generators and relations. Our presentation arises from the realization of L as the tetrahedron Lie algebra and leads to connections between the universal central extension and the Onsager Lie algebra. Symmetry under the alternating group A_4 features prominently in this work.
Keywords
Cite
@article{arxiv.math/0512422,
title = {The Universal Central Extension of the Three-point sl_2 Loop Algebra},
author = {Georgia Benkart and Paul Terwilliger},
journal= {arXiv preprint arXiv:math/0512422},
year = {2016}
}