| Autor: |
Bonfert, Lukas, Nehme, Jonas |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
J. Algebra 641 (2024), pp. 795-822 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jalgebra.2023.12.004 |
| Popis: |
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 $\mathfrak{sl}(m|n)$, $\mathfrak{osp}(2m+1|2n)$ and $\mathfrak{osp}(2m|2n)$ we explicitly describe the Cartan graph in terms of partitions and determine the relations between the generators of their Weyl groupoids. |
| Databáze: |
arXiv |
| Externí odkaz: |
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