2 papers
math.OA2025
Analysis for idempotent states on quantum permutation groups
J. P. McCarthy
Woronowicz proved the existence of the Haar state for compact quantum groups under a separability assumption later removed by Van Daele in a new existence proof. A minor adaptation…
math.QA2024
Tracing the orbitals of the quantum permutation group
J. P. McCarthy
Using a suitably noncommutative flat matrix model, it is shown that the quantum permutation group has free orbitals: that is, a monomial in the generators of the algebra of functio…