57 citations · 135 across the 34 of their papers we have counts for
51 papers
Lie algebras in symmetric tensor categories
Iván Angiono, Agustina Czenky, Pavel Etingof +3
We develop the general theory of Lie algebras in symmetric tensor categories. We prove categorical versions of classical results such as Engel's theorem, Cartan's criterion, and th…
Higher Fomin-Kirillov algebras are infinite-dimensional
N. Andruskiewitsch, I. Angiono, I. Heckenberger +3
We show that the Fomin--Kirillov algebras are infinite-dimensional for . This answers a question posed by Fomin and Kirillov in 1997. To prove this, we demonstrate t…
Zestings of Hopf Algebras
Iván Angiono, César Galindo, Giovanny Mora
We extend the previously established zesting techniques from fusion categories to general tensor categories. In particular we consider the category of comodules over a Hopf algebra…
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…
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…
Contragredient Lie algebras in symmetric categories
Iván Angiono, Julia Plavnik, Guillermo Sanmarco
We define contragredient Lie algebras in symmetric categories, generalizing the construction of Lie algebras of the form for a Cartan matrix from the category…