On fusion categories with few irreducible degrees

Natale, Sonia; Plavnik, Julia Yael

doi:10.2140/ant.2012.6.1171

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On fusion categories with few irreducible degrees

Sonia Natale and Julia Yael Plavnik

Vol. 6 (2012), No. 6, 1171–1197

DOI: 10.2140/ant.2012.6.1171

Abstract

We prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of their irreducible degrees.

Keywords

fusion category, semisimple Hopf algebra, irreducible degree

Mathematical Subject Classification 2010

Primary: 16T05

Secondary: 18D10

Milestones

Received: 11 March 2011

Revised: 1 April 2011

Accepted: 28 October 2011

Published: 12 August 2012

Authors

Sonia Natale
Facultad de Matemática, Astronomía y Física Universidad Nacional de Córdoba Medina Allende s/n Ciudad Universitaria 5000 Córdoba Argentina
http://www.famaf.unc.edu.ar/~natale
Julia Yael Plavnik
Facultad de Matemática, Astronomía y Física Universidad Nacional de Córdoba Medina Allende s/n Ciudad Universitaria 5000 Córdoba Argentina

Vol. 6, No. 6, 2012