On Hopf algebras of dimension 4p
Quantum Algebra
2012-02-07 v2 Rings and Algebras
Representation Theory
Abstract
In this paper, we prove that a non-semisimple Hopf algebra H of dimension 4p with p an odd prime over an algebraically closed field of characteristic zero is pointed provided H contains more than two group-like elements. In particular, we prove that non-semisimple Hopf algebras of dimensions 20, 28 and 44 are pointed or their duals are pointed, and this completes the classification of Hopf algebras in these dimensions.
Cite
@article{arxiv.1005.1267,
title = {On Hopf algebras of dimension 4p},
author = {Yi-Lin Cheng and Siu-Hung Ng},
journal= {arXiv preprint arXiv:1005.1267},
year = {2012}
}
Comments
Reference added, Typos corrected, 22 pages