An explicit formula for a star product with separation of variables

2011/06/21 by Alexander Karabegov, Karabegov, Alexander · 16 citations
Chemistry · Mathematics · Physics and Astronomy · #53D55 #A* search algorithm #Advanced Topics in Algebra #Black Holes and Theoretical Physics #Chemistry #Combinatorics #Computer science #FOS: Mathematics #Function (biology) #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Multiplication (music) #Operator (biology) #Philosophy #Product (mathematics) #Pure mathematics #Quantum Algebra (math.QA) #Separation (statistics) #Simple (philosophy) #Star (game theory) #Star product #Statistics #Symbol (formal) #math.QA #msc:53D55

paper · pdf · doi:10.48550/arxiv.1106.4112

published in arXiv (Cornell University) (Cornell University) · 8 pages

arxiv created 2011/06/21 · openalex publication_date 2011/06/21 · arxiv updated 2011/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a star product with separation of variables * on a pseudo-Kaehler manifold we give a simple closed formula of the total symbol of the left star multiplication operator L_f by a given function f. The formula for the star product f * g can be immediately recovered from the total symbol of L_f.

Citations

• A Fedosov Star Product of Wick Type for Kähler Manifolds
• Deformation Quantization of Poisson Manifolds

Cited by

• Gauge theories on noncommutative \mathbb CP^N and BPS-like equations

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