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arXiv · 1402.4714

Biproducts and Kashina's examples

David E. Radford
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Abstract

We revisit a class of examples described in the original paper on biproducts, expand the class, and provide a detailed analysis of the coalgebra and algebra structures of many of these examples. Connections with the semisimple Hopf algebras of dimension a power of two determined by Kashina are examined. The finite-dimensional non-trivial semisimple cosemisimple Hopf algebras we construct are shown to be lower cosolvable. Some of these have one proper normal Hopf subalgebra and are not lower solvable.

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David E. Radford. 2014-02-19. Biproducts and Kashina's examples. https://arxiv.org/abs/1402.4714

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