Deformation quantization for actions of R d. Memoirs of the American Mathematical Society; 506.

Rieffel, Marc A.

ISBN 10: 0821825755 / ISBN 13: 9780821825754

Published by Providence, American Mathematical Society, 1993

About this Item

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00760 9780821825754 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2484598

Bibliographic Details

• Title: Deformation quantization for actions of R d. Memoirs of the American Mathematical Society; 506.
• Publisher: Providence, American Mathematical Society
• Publication Date: 1993
• Language: English
• ISBN 10: 0821825755
• ISBN 13: 9780821825754
• Binding: Softcover
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.