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math.QA2023★ 3 cited
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…
math.QA2018
Diaconis-Shahshahani Upper Bound Lemma for Finite Quantum Groups
J. P. McCarthy
A central tool in the study of ergodic random walks on finite groups is the Upper Bound Lemma of Diaconis and Shahshahani. The Upper Bound Lemma uses the representation theory of t…