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Other titles in the Lecture Notes in Physics series:

Lecture Notes in Physics #774: Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory

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Lecture Notes in Physics #774: Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory Cover

 

Synopses & Reviews

Publisher Comments:

There are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups. The aim of this work is to give an introduction to this topic and to prepare the reader to enter the research field quickly. The order of the chapters is "physics first": the mathematics follows from the physical motivations (e.g. gauge field theories) in order to strengthen the physical intuition. The new mathematical tools, in turn, are used to explore further physical insights. A last chapter has been added to briefly trace Julius Wess' (1934-2007) seminal work in the field.

Table of Contents

Differential Calculus and Gauge Transformations on a Deformed Space.- Deformed Gauge Theories.- Einstein Gravity on Deformed Spaces.- Deformed Gauge Theory: Twist Versus Seiberg-Witten Approach.- Another Example of Noncommutative Spaces: K-Deformed Space.- Noncommutative Spaces.- Quantum Groups, Quantum Lie Algebras and Twists.- Noncommutative Symmetries and Gravity.- Twist Deformation of Quantum Integrable Spin Chains.- Julius Wess Noncommutative Geometry.- Index.

Product Details

ISBN:
9783540897927
Author:
Aschieri, P.
Publisher:
Springer
Author:
Lizzi, Fedele
Author:
Kulish, P.
Author:
Wess, Julius
Author:
Aschieri, Paolo
Author:
Dimitrijevic, Marija
Author:
Dimitrijevic, M.
Author:
Kulish, Petr
Subject:
Group Theory
Subject:
Quantum Theory
Subject:
Mathematical Physics
Subject:
Julius Wess
Subject:
deformed gauge theories
Subject:
noncommuative spacetime
Subject:
Quantum groups
Subject:
mathematical methods in physics
Subject:
Group Theory and Generalizations
Subject:
Quantum physics.
Subject:
Physics-Math
Edition Description:
Book
Series:
Lecture Notes in Physics
Series Volume:
774
Publication Date:
20090931
Binding:
HARDCOVER
Language:
English
Pages:
213
Dimensions:
235 x 155 mm 491 gr

Related Subjects


Science and Mathematics » Chemistry » Chemical Engineering
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Grand Unified Theory
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Quantum Mechanics

Lecture Notes in Physics #774: Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory New Hardcover
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