On Hopf algebras of dimension 4p

Details On Hopf algebras of dimension 4p On Hopf algebras of dimension 4p

2010-05-07

arxiv.org/abs/1005.1267v2

J. Algebra, 328 (2011), no.1, 399--419

Mathematics

Quantum Algebra

Reference added, Typos corrected, 22 pages

Scientific paper

10.1016/j.jalgebra.2010.08.029

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.

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