Characters for extended affine Lie algebras; a combinatorial approach
Representation Theory
2024-06-10 v1 Quantum Algebra
Abstract
The behavior of objects associated with general extended affine Lie algebras is typically distinct from their counterparts in affine Lie algebras. Our research focuses on studying characters and Cartan automorphisms, which appear in the study of Chevalley involutions and Chevalley bases for extended affine Lie algebras. We show that for almost all extended affine Lie algebras, any finite order Cartan automorphism is diagonal, and its corresponding combinatorial map is a character.
Cite
@article{arxiv.2406.04885,
title = {Characters for extended affine Lie algebras; a combinatorial approach},
author = {Saeid Azam},
journal= {arXiv preprint arXiv:2406.04885},
year = {2024}
}
Comments
to appear in Journal of Algebraic Combinatorics