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math.RT2025
Computing finite Weyl groupoids
Iván Angiono, Leandro Vendramin
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…
math.RT2024
Posets of finite GK-dimensional graded pre-Nichols algebras of diagonal type
Iván Angiono, Emiliano Campagnolo
We classify graded pre-Nichols algebras of diagonal type with finite Gelfand-Kirillov dimension. The characterization is made through an isomorphism of posets with the family of ap…
math.RT2023
Semisimplification of contragredient Lie algebras
Iván Angiono, Julia Plavnik, Guillermo Sanmarco
We describe the structure and different features of Lie algebras in the Verlinde category, obtained as semisimplification of contragredient Lie algebras in characteristic with…