3 citations · 4 across the 5 of their papers we have counts for
5 papers
Finite GK-Dimensional pre-Nichols algebras of super and standard type
Iván Angiono, Emiliano Campagnolo, Guillermo Sanmarco
We prove that finite GK-dimensional pre-Nichols algebras of super and standard type are quotients of the corresponding distinguished pre-Nichols algebras, except when the braiding…
Bruhat order and nil-Hecke algebras for Weyl groupoids
Iván Angiono, Hiroyuki Yamane
We introduce nil-Hecke algebras for Weyl groupoids. We describe a basis and some properties of these algebras which lead to a notion of Bruhat order for Weyl groupoids.
On rigidity of Nichols algebras
Iván Angiono, Mikhail Kochetov, Mitja Mastnak
We study deformations of graded braided bialgebras using cohomological methods. In particular, we show that many examples of Nichols algebras, including the finite-dimensional ones…
From Hopf algebras to tensor categories
Nicolas Andruskiewitsch, Ivan Angiono, Agustin Garcia Iglesias +2
This is a survey on spherical Hopf algebras. We give criteria to decide when a Hopf algebra is spherical and collect examples. We discuss tilting modules as a mean to obtain a fusi…
Pointed Hopf algebras with standard braiding are generated in degree one
Iván Angiono, Agustín García Iglesias
We show that any finite-dimensional pointed Hopf algebra over an abelian group such that its infinitesimal braiding is of standard type is generated by group-like and skew-prim…