Logo

Geometric Models for Noncommutative Algebra

Geometric Models for Noncommutative Algebra
by

Publisher: University of California at Berkeley
Number of pages: 194

Description:
Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, like the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this book, we discuss several types of geometric objects which are closely related to noncommutative algebras.

Home page url

Download or read it online for free here:
Download link
(3.3MB, PDF)

Similar books

Book cover: An Introduction to Noncommutative Spaces and their GeometryAn Introduction to Noncommutative Spaces and their Geometry
by - arXiv
These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.
(8828 views)
Book cover: Homological Methods in Noncommutative GeometryHomological Methods in Noncommutative Geometry
by
The first seven lectures deal with the homological part of the story (cyclic homology, its various definitions, various additional structures it possesses). Then there are four lectures centered around Hochschild cohomology and the formality theorem.
(5707 views)
Book cover: Deformations of Algebras in Noncommutative GeometryDeformations of Algebras in Noncommutative Geometry
by - arXiv
In these notes, we give an example-motivated review of the deformation theory of associative algebras in terms of the Hochschild cochain complex as well as quantization of Poisson structures, and Kontsevich's formality theorem in the smooth setting.
(3108 views)
Book cover: Noncommutative GeometryNoncommutative Geometry
by - Academic Press
The definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics. Ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics.
(9378 views)