TRACE OF POWERS OF REPRESENTATIONS OF FINITE QUANTUM GROUPS

Isabelle Baraquin (1)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

In this paper we study (asymptotic) properties of the *-distribution of irreducible characters of nite quantum groups. We proceed in two steps, rst examining the representation theory to determine irreducible representations and their powers, then we study the *-distribution of their trace with respect to the Haar measure. For the Sekine family we look at the asymptotic distribution (as the dimension of the algebra goes to innity).

Mots clés: finite quantum groups; representation theory; asymptotic * -distribution

Domaines: Algèbres d'opérateurs [math.OA]; Algèbres quantiques [math.QA]

Isabelle Baraquin. TRACE OF POWERS OF REPRESENTATIONS OF FINITE QUANTUM GROUPS. Journal of Algebra and Its Applications, 2020, 19 (07), pp.2050124. ⟨10.1142/S0219498820501248⟩. ⟨hal-03527879⟩