Noncommutative Spacetimes Symmetries in Noncommutative Geometry and Field Theory /

• Main Authors: Aschieri, Paolo. (Author), Dimitrijevic, Marija. (Author), Kulish, Petr. (Author), Lizzi, Fedele. (Author), Wess, Julius. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Physics, 774
• Subjects: Physics.; Group theory.; Quantum theory.; Mathematical physics.; Mathematical Methods in Physics.; Group Theory and Generalizations.; Quantum Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-89793-4
• Physical Description: online resource.
• ISBN: 9783540897934
• ISSN: 0075-8450

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.