Deformation Quantization for Actions of rd - Brossura

Rieffel, Marc A.

Brossura

ISBN 10: 0821825755 ISBN 13: 9780821825754

Casa editrice: Amer Mathematical Society, 1993

Riassunto

This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of $R^d$ on that manifold. These deformation quantizations are strict, in the sense that the deformed product of any two functions is again a function and that there are corresponding involutions and operator norms. Many of the techniques involved are adapted from the theory of pseudo-differential operators. The construction is shown to have many favorable properties. A number of specific examples are described, ranging from basic ones such as quantum disks, quantum tori, and quantum spheres, to aspects of quantum groups.

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0821825755
• ISBN 13: 9780821825754
• Rilegatura: Copertina flessibile
• Numero di pagine: 93
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile