๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An Introduction to Noncommutative Differential Geometry and its Physical Applications

โœ Scribed by J. Madore

Book ID
127455484
Publisher
Cambridge University Press
Year
1999
Tongue
English
Weight
4 MB
Series
London Mathematical Society lecture note series 257
Edition
2nd ed
Category
Library
City
Cambridge [England]; New York
ISBN-13
9780521659918

No coin nor oath required. For personal study only.

โœฆ Synopsis

This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fiber bundles is assumed, making this book accessible to graduate students and newcomers to this field.

๐Ÿ“œ SIMILAR VOLUMES

[Lecture Notes in Physics] Geometry and
[Lecture Notes in Physics] Geometry and Quantum Physics Volume 543 || An Introduction to Noncommutative Geometry
โœ Gausterer, H.; Pittner, L.; Grosse, Harald ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Springer Berlin Heidelberg ๐ŸŒ English โš– 823 KB

In modern mathematical physics, classical together with quantum, geometrical and functional analytic methods are used simultaneously. Non-commutative geometry in particular is becoming a useful tool in quantum field theories. This book, aimed at advanced students and researchers, provides an introdu

An Introduction to Noncommutative Spaces
An Introduction to Noncommutative Spaces and their Geometry
โœ Landi G. ๐Ÿ“‚ Library ๐Ÿ“… 1997 ๐ŸŒ English โš– 1 MB

These lectures notes are an intoduction 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. We illustrate applications to Yang-Mills, fermionic and gravity models, notab

An introduction to noncommutative spaces
An introduction to noncommutative spaces and their geometry
โœ Giovanni Landi ๐Ÿ“‚ Library ๐Ÿ“… 1998 ๐Ÿ› Springer ๐ŸŒ English โš– 1 MB

An introduction to several ideas & applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some virtual noncommutative space.