The Weyl groupoids of $\mathfrak{sl}(m|n)$ and $\mathfrak{osp}(r|2n)$
Representation Theory
2024-01-15 v2 Rings and Algebras
Abstract
We provide a convenient formulation of the definition of Cartan graphs and Weyl groupoids introduced by Heckenberger and Schneider, and construct Cartan graphs for regular symmetrizable contragredient Lie superalgebras. For , and we explicitly describe the Cartan graph in terms of partitions and determine the relations between the generators of their Weyl groupoids.
Cite
@article{arxiv.2305.04751,
title = {The Weyl groupoids of $\mathfrak{sl}(m|n)$ and $\mathfrak{osp}(r|2n)$},
author = {Lukas Bonfert and Jonas Nehme},
journal= {arXiv preprint arXiv:2305.04751},
year = {2024}
}