57 citations · 135 across the 34 of their papers we have counts for
7 papers · 1 filter
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.
Simple Modules of the Quantum Double of the Nichols Algebra of Unidentified Diagonal Type
Nicolás Andruskiewitsch, Iván Angiono, Adriana Mejí a +1
The simple finite-dimensional modules over the Drinfeld double of the bosonization of the Nichols algebra are classified.
A quantum version of the algebra of distributions of
Iván Angiono
Let be a primitive root of unity of order . We introduce a family of finite-dimensional algebras over the comp…
On finite GK-dimensional Nichols algebras over abelian groups
Nicolás Andruskiewitsch, Iván Angiono, Istvan Heckenberger
We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, for short, through the study of Nichols algebras over abelian gr…
Liftings of Nichols algebras of diagonal type II. All liftings are cocycle deformations
Iván Angiono, Agustín García Iglesias
We classify finite-dimensional pointed Hopf algebras with abelian coradical, up to isomorphism, and show that they are cocycle deformations of the associated graded Hopf algebra. M…
Hopf braces and Yang-Baxter operators
I. Angiono, C. Galindo, L. Vendramin
This paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's braces and their non-commutative generalizations as particular…