Biproducts and Kashina's examples
Rings and Algebras
2014-02-20 v1
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.
Keywords
Cite
@article{arxiv.1402.4714,
title = {Biproducts and Kashina's examples},
author = {David E. Radford},
journal= {arXiv preprint arXiv:1402.4714},
year = {2014}
}