Quantum Isometries and Noncommutative Spheres
By T. Banica, D. Goswami. 2009
68 citations recorded by the source corpus.
We introduce and study two new examples of noncommutative spheres: the half-liberated sphere, and the free sphere. Together with the usual sphere, these two spheres have the property that the corresponding quantum isometry group is “easy”, in the representation theory sense. We present as well some general comments on the axiomatization problem, and on the “untwisted” and “non-easy” case.
Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/10d082e761250613cc625eb6e60e78744a54537a
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In Atomic and Molecular Physics, and Optics
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Unitary Easy Quantum Groups: the free case and the group case (2015, background): “ space on which they act. Thus, noncommutative geometry and quantum groups come together in a twinned way. Several examples of easy quantum groups can be seen as quantum isometry groups, see [Wan98], [BG10], [Ban15]. The question is whether all easy quantum groups appear to be quantum isometry group”