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São Paulo Journal of Mathematical Sciences

, Volume 13, Issue 2, pp 628–651 | Cite as

Some advances about the existence of compact involutions in semisimple Hopf algebras

  • Andrés AbellaEmail author
Original Article

Abstract

In this paper we show that all complex semisimple Hopf algebras of dimension less than 24 are compact quantum groups. To do this, we survey all the above algebras and show explicitly that they can be described by bicrossed products of group algebras and its duals. We also study the behaviour under twisting of compact quantum groups. Using this we show that certain families of triangular semisimple Hopf algebras are compact quantum groups.

Keywords

Compact quantum group Twisted Hopf algebra Semisimple Hopf algebra 

Notes

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Copyright information

© Instituto de Matemática e Estatística da Universidade de São Paulo 2018

Authors and Affiliations

  1. 1.Facultad de CienciasUniversidad de la RepúblicaMontevideoUruguay

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