4 papers
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…
Finite quantum groups over abelian groups of prime exponent
Nicolas Andruskiewitsch, Hans-Jurgen Schneider
Since the discovery of quantum groups (Drinfeld, Jimbo) and finite dimensional variations thereof (Lusztig, Manin), these objects were studied from different points of view and had…
Lifting of Quantum Linear Spaces and Pointed Hopf Algebras of order p^3
N. Andruskiewitsch, H. -J. Schneider
We propose the following principle to study pointed Hopf algebras, or more generally, Hopf algebras whose coradical is a Hopf subalgebra. Given such a Hopf algebra A, consider its…