New York Journal of Mathematics
Volume 8 (2002) 235-240

  

Julien Bichon

Cosemisimple Hopf Algebras with Antipode of Arbitrary Finite Order


Published: December 14, 2002
Keywords: Hopf algebra, antipode, Schur indicator
Subject: 16W30

Abstract
Let m ≧ 1 be a positive integer. We show that, over an algebraically closed field of characteristic zero, there exist cosemisimple Hopf algebras having an antipode of order 2m. We also discuss the Schur indicator for such Hopf algebras.

Author information

Laboratoire de Mathématiques Appliquées, Université de Pau et des Pays de l'Adour, IPRA, Avenue de l'université, 64000 Pau, France.
Julien.Bichon@univ-pau.fr