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arXiv · 1811.00795

Trace of powers of representations of finite quantum groups

Isabelle Baraquin
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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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Isabelle Baraquin. 2018-11-02. Trace of powers of representations of finite quantum groups. https://arxiv.org/abs/1811.00795

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