This article is cited in 1 paper

Mathematics

Group elements of some semisimple finite-dimensional Hopf algebras

E. G. Puninskiy

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: V. A. Artamonov and I. A. Chubarov proved a criterion under which an element of some semisimple finite-dimensional Hopf algebra is group-like. The studied Hopf algebra has only one non-one-dimensional irreducible representation. Let $n$ be a dimension of this representation. It is shown in this paper that for odd prime $n$ the set of group-like elements of these algebras is a cyclic group of order $2n$.

Key words: semisimple finite-dimensional Hopf algebra, group-like elements.

UDC: 511.667.7

Received: 07.10.2009

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