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Quantization, Poisson brackets and beyond / [electronic resource] Theodore Voronov, editor.

Contributor(s): Voronov, Theodore, 1963-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 315.Publication details: Providence, R.I. : American Mathematical Society, c2002Description: 1 online resource (viii, 278 p.)ISBN: 9780821879054 (online)Subject(s): Geometric quantization | Poisson brackets | Mathematical physicsAdditional physical formats: Quantization, Poisson brackets and beyond /DDC classification: 530.15 LOC classification: QC174.17.G46 | Q36 2002Online resources: Contents | Contents

Contents:

Deformation quantization: pro and contra / Boris Fedosov -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05470 Quantization as a functor / N. P. Landsman -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05471 Star exponential functions for quadratic forms and polar elements / Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki and Akira Yoshioka -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05472 On traces for differential star products on symplectic manifolds / John Rawnsley -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05473 Quantum $G$-manifolds / Joseph Donin -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05474 ${\scr U}_q({\rm sl}(n))$-covariant quantization of symmetric coadjoint orbits via reflection equation algebra / J. Donin and A. Mudrov -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05475 Toward a classification of Poisson structures on surfaces / Olga Radko -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05476 Lectures on operads / J. D. S. Jones -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05477 Graded manifolds and Drinfeld doubles for Lie bialgebroids / Theodore Voronov -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05478 On the structure of graded symplectic supermanifolds and Courant algebroids / Dmitry Roytenberg -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05479 On certain canonical diffeomorphisms in symplectic and Poisson geometry / K. C. H. Mackenzie -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05480 Laplacians in odd symplectic geometry / Hovhannes M. Khudaverdian -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05481 Differential operators and actions of Lie algebroids / Y. Kosmann-Schwarzbach and K. C. H. Mackenzie -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05482 Poisson actions and Lie bialgebroid morphisms / Long-guang He, Zhang-Ju Liu and De-Shou Zhong -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05483 Identities and derivations for Jacobian algebras / A. S. Dzhumadildaev -- http://www.ams.org/conm/315/ http://dx.doi.org/10.1090/conm/315/05484

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
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Includes bibliographical references.

Deformation quantization: pro and contra / Boris Fedosov -- Quantization as a functor / N. P. Landsman -- Star exponential functions for quadratic forms and polar elements / Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki and Akira Yoshioka -- On traces for differential star products on symplectic manifolds / John Rawnsley -- Quantum $G$-manifolds / Joseph Donin -- ${\scr U}_q({\rm sl}(n))$-covariant quantization of symmetric coadjoint orbits via reflection equation algebra / J. Donin and A. Mudrov -- Toward a classification of Poisson structures on surfaces / Olga Radko -- Lectures on operads / J. D. S. Jones -- Graded manifolds and Drinfeld doubles for Lie bialgebroids / Theodore Voronov -- On the structure of graded symplectic supermanifolds and Courant algebroids / Dmitry Roytenberg -- On certain canonical diffeomorphisms in symplectic and Poisson geometry / K. C. H. Mackenzie -- Laplacians in odd symplectic geometry / Hovhannes M. Khudaverdian -- Differential operators and actions of Lie algebroids / Y. Kosmann-Schwarzbach and K. C. H. Mackenzie -- Poisson actions and Lie bialgebroid morphisms / Long-guang He, Zhang-Ju Liu and De-Shou Zhong -- Identities and derivations for Jacobian algebras / A. S. Dzhumadildaev --