Geometric Models for Noncommutative Algebras

Geometric Models for Noncommutative Algebras
Author :
Publisher : American Mathematical Soc.
Total Pages : 202
Release :
ISBN-10 : 0821809520
ISBN-13 : 9780821809525
Rating : 4/5 (525 Downloads)

Book Synopsis Geometric Models for Noncommutative Algebras by : Ana Cannas da Silva

Download or read book Geometric Models for Noncommutative Algebras written by Ana Cannas da Silva and published by American Mathematical Soc.. This book was released on 1999 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is based on a course, ``Geometric Models for Noncommutative Algebras'' taught by Professor Weinstein at Berkeley. 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. An extensive bibliography and index are included.


Geometric Models for Noncommutative Algebras Related Books

Geometric Models for Noncommutative Algebras
Language: en
Pages: 202
Authors: Ana Cannas da Silva
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The volume is based on a course, ``Geometric Models for Noncommutative Algebras'' taught by Professor Weinstein at Berkeley. Noncommutative geometry is the stud
Noncommutative Geometry
Language: en
Pages: 364
Authors: Alain Connes
Categories: Mathematics
Type: BOOK - Published: 2003-12-15 - Publisher: Springer

DOWNLOAD EBOOK

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providin
Quantization, Geometry and Noncommutative Structures in Mathematics and Physics
Language: en
Pages: 347
Authors: Alexander Cardona
Categories: Science
Type: BOOK - Published: 2017-10-26 - Publisher: Springer

DOWNLOAD EBOOK

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from
Noncommutative Geometry, Quantum Fields and Motives
Language: en
Pages: 810
Authors: Alain Connes
Categories: Mathematics
Type: BOOK - Published: 2019-03-13 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces whe
Noncommutative Geometry and Particle Physics
Language: en
Pages: 246
Authors: Walter D. van Suijlekom
Categories: Science
Type: BOOK - Published: 2014-07-21 - Publisher: Springer

DOWNLOAD EBOOK

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate