Abstract
A construction methods of noncommutative locally symmetric K{\"a}hler manifolds via a deformation quantization with separation of variables was proposed by Sako-Suzuki-Umetsu and Hara-Sako. This construction gives the recurrence relations to determine the star product. These recurrence relations were solved for the case of the arbitrary one-dimensional ones, $N$-dimensional complex space, complex projective space and complex hyperbolic space. For any two-dimensional case, authors found the solution of the recurrence relations. In this paper, we review the solution and make the star product for two-dimensional complex projective space as a concrete example of this solution.
Citation
Taika Okuda. Akifumi Sako. "Deformaion Quantization with Separation of Variables for Complex Two-Dimensional Locally Symmetric K{\"a}hler Manifold." J. Geom. Symmetry Phys. 64 39 - 49, 2022. https://doi.org/10.7546/jgsp-64-2022-39-49
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