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arxiv: math/0606132 · v2 · pith:WXLAOKM7new · submitted 2006-06-06 · 🧮 math.CO

Integration over quantum permutation groups

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keywords formulagroupspermutationpoissonquantumcharacterscoefficientscombinatorial
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We find a combinatorial formula for the Haar measure of quantum permutation groups. This leads to a dynamic formula for laws of diagonal coefficients, explaining the Poisson/free Poisson convergence result for characters.

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