Trace of powers of representations of finite quantum groups

2018/11/02 by Baraquin, Isabelle
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1811.00795

Abstract

In this paper we study (asymptotic) properties of the *-distribution of irreducible characters of finite quantum groups. We proceed in two steps, first 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 infinity).

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