Trace of powers of representations of finite quantum groups
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Publication:6309129
DOI10.1142/S0219498820501248arXiv1811.00795WikidataQ114614634 ScholiaQ114614634MaRDI QIDQ6309129
Publication date: 2 November 2018
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).
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Representation theory for linear algebraic groups (20G05) Quantum groups (quantized function algebras) and their representations (20G42)
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