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On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds | V.A. Dolgushev
; A.P. Isaev
; S.L. Lyakhovich
; A.A. Sharapov
; | Date: |
5 Jun 2002 | Journal: | Nucl.Phys. B645 (2002) 457-476 | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th math.QA | Abstract: | A simple iterative procedure is suggested for the deformation quantization of (irregular) Poisson brackets associated to the classical Yang-Baxter equation. The construction is shown to admit a pure algebraic reformulation giving the Universal Deformation Formula (UDF) for any triangular Lie bialgebra. A simple proof of classification theorem for inequivalent UDF’s is given. As an example the explicit quantization formula is presented for the quasi-homogeneous Poisson brackets on two-plane. | Source: | arXiv, hep-th/0206039 | Services: | Forum | Review | PDF | Favorites |
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