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arXiv · 2505.24555

Computing finite Weyl groupoids

Iván Angiono·Leandro Vendramin
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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.

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Iván Angiono, Leandro Vendramin. 2025-05-30. Computing finite Weyl groupoids. https://doi.org/10.1007/s11565-026-00736-y

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