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Trace of powers of representations of finite quantum groups

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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… Click to show full 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).

Keywords: trace powers; distribution; quantum groups; powers representations; representations finite; finite quantum

Journal Title: Journal of Algebra and Its Applications
Year Published: 2019

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