Computing finite Weyl groupoids
Representation Theory
2025-06-02 v1 Quantum Algebra
Rings and Algebras
Abstract
We present algorithms to compute generalized root systems of Nichols algebras of diagonal type and of contragredient Lie superalgebras. As a consequence, we obtain an algorithm to compute the Lyndon words in the Kharchenko PBW basis associated to each positive root, along with their corresponding hyperwords. This data is essential for obtaining a minimal presentation of Nichols algebras of diagonal type with a finite root system.
Cite
@article{arxiv.2505.24555,
title = {Computing finite Weyl groupoids},
author = {Iván Angiono and Leandro Vendramin},
journal= {arXiv preprint arXiv:2505.24555},
year = {2025}
}
Comments
15 pages