19 citations · 60 across the 15 of their papers we have counts for
16 papers
Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property
Margaret Beattie, Gaston Andres Garcia, Siu-Hung Ng +1
Let p be an odd prime and k an algebraically closed field of characteristic zero. We classify nonsemisimple Hopf algebras over k of dimension 8p with the Chevalley property, and gi…
Quantum Lines for Dual Quasi-Bialgebras
Alessandro Ardizzoni, Margaret Beattie, Claudia Menini
In this paper, the theory to construct quantum lines for general dual quasi-bialgebras is developed followed by some specific examples where the dual quasi-bialgebras are pointed w…
Classifying Hopf algebras of a given dimension
Margaret Beattie, Gaston Andres Garcia
Classifying all Hopf algebras of a given finite dimension over the complex numbers is a challenging problem which remains open even for many small dimensions, not least because few…
Stable equivalence of Morita type and Frobenius extensions
M. Beattie, S. Caenepeel, S. Raianu
A.S. Dugas and R. Martínez-Villa proved in \cite[Corollary 5.1]{dm} that if there exists a stable equivalence of Morita type between the -algebras and , then it is possib…
Techniques for classifying Hopf algebras and applications to dimension p^3
Margaret Beattie, Gaston Andres Garcia
The classification of all Hopf algebras of a given finite dimension over an algebraically closed field of characteristic 0 is a difficult problem. If the dimension is a prime, then…
Gauge deformations for Hopf algebras with the dual Chevalley property
Alessandro Ardizzoni, Margaret Beattie, Claudia Menini
Let be a Hopf algebra over a field of characteristic zero such that its coradical is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge…