%0 Journal Article
%T Hopf algebra extensions of group algebras and Tambara-Yamagami categories
%A Sonia Natale
%J Mathematics
%D 2008
%I arXiv
%X We determine the structure of Hopf algebra extensions of a group algebra by the cyclic group of order 2. We study the corepresentation theory of such Hopf algebras, which provide a generalization, at the Hopf algebra level, of the so called Tambara-Yamagami fusion categories. As a byproduct, we show that every semisimple Hopf algebra of dimension $<36$ is necessarily group-theoretical; thus 36 is the smallest possible dimension where a non group-theoretical example occurs.
%U http://arxiv.org/abs/0805.3172v2