A convergent star product for linear Poisson structures
| Autor: | N. Ben Amar, Mabrouka Hfaiedh |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Discrete mathematics
Pure mathematics Operator (physics) Statistical and Nonlinear Physics Astrophysics::Cosmology and Extragalactic Astrophysics Quantization (physics) Poisson bracket Star product Product (mathematics) Lie algebra Astrophysics::Solar and Stellar Astrophysics Astrophysics::Earth and Planetary Astrophysics Astrophysics::Galaxy Astrophysics Mathematical Physics Moyal bracket Poisson algebra Mathematics |
| Zdroj: | Russian Journal of Mathematical Physics. 14:8-27 |
| ISSN: | 1555-6638 1061-9208 |
| DOI: | 10.1134/s1061920807010025 |
| Popis: | An explicit star product ⋆ Γ on the dual of a general Lie algebra equipped with the linear Poisson bracket is constructed. An equivalence operator between this star product and the Kontsevich star product in [K1] is given and diverse properties of the star product ⋆ Γ are studied. It is also proved that the star product ⋆ α Γ provides a convergent deformation quantization in the sense of Rieffel [R1]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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