Groups of extended affine Lie type
Quantum Algebra
2024-04-02 v2
Abstract
We construct certain Steinberg groups associated to extended affine Lie algebras and their root systems. Then by the integration methods of Kac and Peterson for integrable Lie algebras, we associate a group to every tame extended affine Lie algebra. Afterwards, we show that the extended affine Weyl group of the ground Lie algebra can be recovered as a quotient group of two subgroups of the group associated to the underlying algebra similar to Kac-Moody groups.
Cite
@article{arxiv.1908.07809,
title = {Groups of extended affine Lie type},
author = {Saeid Azam and Amir Farahmand Parsa},
journal= {arXiv preprint arXiv:1908.07809},
year = {2024}
}
Comments
A few typos are fixed