Hopf Algebra Extensions of Group Algebras and Tambara-Yamagami Categories
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چکیده
منابع مشابه
Hopf Algebra Extensions of Group Algebras and Tambara-yamagami Categories
We determine the structure of Hopf algebras that admit an extension 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-theoreti...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2009
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-009-9168-z