Victor Palamodov

Non regular symplectic reduction and quantization of singular spaces

The algebraic method of singular reduction is applied for non regular group action providing a singular Poisson space. For some examples of singular Poisson spaces the deformation quantization is explicitly constructed. For the flat phase space with the classical moment map and the orthogonal group action the deformation quantization converges for the class of entire functions.

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		University of Bialystok