We prove that the Pauli representation of the quantum permutation algebra
$A(S_4)$ 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.
The New Math : latest mathematics and general sciences.
Comments are closed.