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Noncommutative geometry in the sense of Connes and beyond: noncommutative algebras viewed as functions on a noncommutative space.
8
votes
1
answer
366
views
Are the Drinfeld compact quantum groups simply connected ?
To fix notations : let G be simply connected simple compact group, and $U_q(\mathcal{G})$ the Drinfeld-Jimbo universal algebra quantization of its complexified algebra defined as usual, with q not roo …
2
votes
Reference request for translating from Top to C*-alg
For 9 I have to say that I have also never seen a direct proof, but I think I remember some hints in Wegge-Olsen (in exercises of 'translation'); I can't garantee that it isn't the usual functorial ar …
2
votes
Kontsevich, and Geometric, Quantization and the Podles sphere
I had the same question, but not even for quantum flag manifolds (these are quantum homogenous spaces for quantum groups), but already for the quantum groups themselves. The latter are special quantiz …