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  The Weyl groupoids of sl(m|n) and osp (r|2n)

Bonfert, L., & Nehme, J. (2024). The Weyl groupoids of sl(m|n) and osp (r|2n). Journal of Algebra, 641, 795-822. doi:10.1016/j.jalgebra.2023.12.004.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000E-143B-A Version Permalink: https://hdl.handle.net/21.11116/0000-000E-143C-9
Genre: Journal Article
Latex : he Weyl groupoids of $\mathfrak{sl}(m|n)$ and $\mathfrak{osp}(r|2n)$

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 Creators:
Bonfert, Lukas1, Author                 
Nehme, Jonas1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory, ,Mathematics, 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 $\mathfrak{sl}(m|n)$, $\mathfrak{osp}(2m+1|2n)$ 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.

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Language(s): eng - English
 Dates: 2024
 Publication Status: Issued
 Pages: 28
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 Rev. Type: Peer
 Identifiers: arXiv: 2305.04751
DOI: 10.1016/j.jalgebra.2023.12.004
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Title: Journal of Algebra
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 641 Sequence Number: - Start / End Page: 795 - 822 Identifier: -