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- Title
Modeling questions for quantum permutations.
- Authors
Banica, Teodor; Freslon, Amaury
- Abstract
Given a quantum permutation group G⊂SN+, with orbits having the same size K, we construct a universal matrix model π:C(G)→MK(C(X)), having the property that the images of the standard coordinates uij∈C(G) are projections of rank ≤1. Our conjecture is that this model is inner faithful under suitable algebraic assumptions, and is in addition stationary under suitable analytic assumptions. We prove this conjecture for the classical groups, and for several key families of group duals.
- Subjects
QUANTUM theory; PERMUTATIONS; GROUP theory; MATHEMATICAL proofs; GAUSSIAN processes
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2018, Vol 21, Issue 2, pN.PAG
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025718500091