Title

On Hopf algebras of dimension 4p

Document Type

Article

Publication Date

2-15-2011

Abstract

In this paper, we prove that a non-semisimple Hopf algebra H of dimension 4. p 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. © 2010 Elsevier Inc.

Publication Source (Journal or Book title)

Journal of Algebra

First Page

399

Last Page

419

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