Quantization of the 2-sphere

Abstract: The quantization problem is the problem of associating non-commutative quantum algebras to a classical Poisson algebra in such a way that the commutator is related to the Poisson bracket. In a formal setting, this problem and its equivariant counterpart are well-understood and can always be solved (under a mild assumption in the equivariant case). However, in a C*-algebraic setting, there exist obstructions to equivariant quantization, for example for the 2-sphere. In this talk, we will give a brief introduction to the quantization problem, and propose a way to obtain an equivariant quantization of the 2-sphere in a Fréchet algebraic setting.

operator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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