@MISC{Banica_integrationover, author = {Teodor Banica and Benoît Collins}, title = {Integration over the Pauli quantum group}, year = {} }
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Abstract
Abstract. We prove that the Pauli representation of the quantum permutation algebra A(S4) is faithful. This provides the second known model for a free quantum algebra. We use this model for performing some computations, with the result that at level of laws of diagonal coordinates, the Lebesgue measure appears between the Dirac mass and the free Poisson law.