Trace of powers of representations of finite quantum groups
Copyright policy )Trace of powers of representations of finite quantum groups
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).
Representation theory for linear algebraic groups, asymptotic \(\ast\)-distribution, [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], finite quantum groups, asymptotic * -distribution, 81R5, representation theory, 530, 510, 2010 MSC: 20G42, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups (quantized function algebras) and their representations, Quantum groups and related algebraic methods applied to problems in quantum theory
Representation theory for linear algebraic groups, asymptotic \(\ast\)-distribution, [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], finite quantum groups, asymptotic * -distribution, 81R5, representation theory, 530, 510, 2010 MSC: 20G42, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups (quantized function algebras) and their representations, Quantum groups and related algebraic methods applied to problems in quantum theory
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