32 citations · 50 across the 3 of their papers we have counts for
10 papers
Double categories and quantum groupoids
Nicolas Andruskiewitsch, Sonia Natale
We give the construction of a class of weak Hopf algebras (or quantum groupoids) associated to a matched pair of groupoids and certain cocycle data. This generalizes a now well-kno…
Some remarks on Nichols algebras
Nicolás Andruskiewitsch
Two algebras can be attached to a braided vector space in an intrinsic way; the FRT-bialgebra and the Nichols algebra $\toba(V, c)$. The FRT-bialgebra plays the rôle of th…
On simple real Lie bialgebras
Nicolas Andruskiewitsch, Patricia Jancsa
The explicit list of all almost factorizable Lie bialgebra structures on real absolutely simple Lie algebras is given.
A characterization of quantum groups
N. Andruskiewitsch, H. -J. Schneider
We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension, which are domains, whose groups of group-like elements are finitely generated and abelian, and whose infin…
Pointed Hopf algebras
N. Andruskiewitsch, H. -J. Schneider
This is a survey on pointed Hopf algebras over algebraically closed fields of characteristic 0. We propose to classify pointed Hopf algebras by first determining the graded Hop…
Co-Frobenius Hopf algebras and the coradical filtration
Nicolas Andruskiewitsch, Sorin Dascalescu
We prove that a Hopf algebra with a finite coradical filtration is co-Frobenius, i. e. there is a non-zero integral on it. As a consequence, we show that algebras of functions on q…