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ePub An Introduction to Noncommutative Spaces and Their Geometries (Lecture Notes in Physics Monographs) download

by Giovanni Landi

ePub An Introduction to Noncommutative Spaces and Their Geometries (Lecture Notes in Physics Monographs) download
Author:
Giovanni Landi
ISBN13:
978-3540635093
ISBN:
3540635092
Language:
Publisher:
Springer; 1 edition (January 15, 1998)
Category:
Subcategory:
Mathematics
ePub file:
1748 kb
Fb2 file:
1414 kb
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Rating:
4.6
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270

High Energy Physics - Theory. Abstract: These lectures notes are an intoduction for physicists to several ideas and applications of noncommutative geometry.

High Energy Physics - Theory. Title:An Introduction to Noncommutative Spaces and their Geometry. Authors:Giovanni Landi. Submitted on 16 Jan 1997). We illustrate applications to Yang-Mills, fermionic and gravity models, notably we describe the spectral action recently introduced by Chamseddine and Connes.

Landi, Giovanni (1997), An introduction to noncommutative spaces and their geometries, Lecture Notes in. .Lectures on Noncommutative Geometry by Victor Ginzburg. Very Basic Noncommutative Geometry by Masoud Khalkhali.

Landi, Giovanni (1997), An introduction to noncommutative spaces and their geometries, Lecture Notes in Physics. New Series m: Monographs, 51, Berlin, New York: Springer-Verlag, pp. arXiv:hep–th/9701078, arXiv:hep-th/9701078, Bibcode:1997hep. 1078L, ISBN 978-3-540-63509-3, MR 1482228. Lectures on Arithmetic Noncommutative Geometry by Matilde Marcolli. Noncommutative Geometry for Pedestrians by J. Madore.

Spaces And Their Geometries (Lecture Notes In Physics).

An Introduction To Noncommutative Spaces And Their Geometries (Lecture Notes In Physics). They are mainly an introduction to Connes' noncommutative geometry and could serve as a "first aid kit" before one ventures into the beautiful but bewildering landscape of Connes' theory.

These lecture notes are an introduction to several ideas and 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'. Attention is switched from spaces, which in general do not even exist, to algebras of functions. In these notes, particular emphasis is put on seeing noncommutative spaces as concrete spaces, namely as a collection of points with a topology.

Автор: Giovanni Landi Название: An Introduction to Noncommutative .

These lectures notes are an intoduction for physicists to several ideas and applications of noncommutative . We also present an introduction to recent work on noncommutative lattices.

These lectures notes are an intoduction for physicists to several ideas and applications of noncommutative geometry. We also present an introduction to recent work on noncommutative lattices

The series Lecture Notes in Physics (LNP), founded in 1969, reports new . Both monographs and multi-author volumes will be considered for publication. An Introduction to Space-time and Internal Symmetries.

Both monographs and multi-author volumes will be considered for publication. We also present an introduction to recent work on noncommutative lattices

Book Condition: Item may show signs of shelf wear. Pages may include limited notes and highlighting. An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series).

Book Condition: Item may show signs of shelf wear. May not include supplemental or companion materials if applicable. Connecting readers since 1972. Customer service is our top priority. Condition: Used: Good.

Noncommutative geometry and particle physics. Landi, Giovanni (1997), An introduction to noncommutative spaces and their geometries, Lecture Notes in Physics. Kyoto U. "The Noncommutative Geometry of Tempered Representations" . Graeme Segal, Noncommutative Geometry and Quantum Field Theory.

These lecture notes are an introduction to several ideas and 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'. Attention is switched from spaces, which in general do not even exist, to algebras of functions. In these notes, particular emphasis is put on seeing noncommutative spaces as concrete spaces, namely as a collection of points with a topology. The necessary mathematical tools are presented in a systematic and accessible way and include among other things, C'*-algebras, module theory and K-theory, spectral calculus, forms and connection theory. Application to Yang--Mills, fermionic, and gravity models are described. Also the spectral action and the related invariance under automorphism of the algebra is illustrated. Some recent work on noncommutative lattices is presented. These lattices arose as topologically nontrivial approximations to 'contuinuum' topological spaces. They have been used to construct quantum-mechanical and field-theory models, alternative models to lattice gauge theory, with nontrivial topological content. This book will be essential to physicists and mathematicians with an interest in noncommutative geometry and its uses in physics.