Geometric Models For Noncommutative Algebras - Couverture souple

Weinstein, Alan; Cannas Da Silva, Ana

Couverture souple

ISBN 10 : 0821809520 ISBN 13 : 9780821809525

Editeur : American Mathematical Society, 1999

Synopsis

The volume is based on a course, "Geometric Models for Noncommutative Algebras" taught by Professor Weinstein. Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, for example, the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this work, the authors discuss several types of geometric objects (in the usual sense of sets with structure) that are closely related to noncommutative algebras. Central to the discussion are symplectic and Poisson manifolds, which arise when noncommutative algebras are obtained by deforming commutative algebras. The authors also give a detailed study of groupoids (whose role in noncommutative geometry has been stressed by Connes) as well as of Lie algebroids, the infinitesimal approximations to differentiable groupoids. Featured are many interesting examples, applications, and exercises. The book starts with basic definitions and builds to (still) open questions. It is suitable for use as a graduate text and an extensive bibliography and index are included.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 0821809520
• ISBN 13: 9780821809525
• Reliure: Broché
• Nombre de pages: 184
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible