Noncommutative Spacetimes

Symmetries in Noncommutative Geometry and Field Theory

  • Authors
  • Paolo Aschieri
  • Marija Dimitrijevic
  • Petr Kulish
  • Fedele Lizzi
  • Julius Wess

Part of the Lecture Notes in Physics book series (LNP, volume 774)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Deformed Field Theory: Physical Aspects

  3. Noncommutative Geometries: Foundations and Applications

    1. Front Matter
      Pages 87-87
    2. Fedele Lizzi
      Pages 89-109
    3. Paolo Aschieri
      Pages 133-164
    4. Paolo Aschieri
      Pages 191-197
  4. Back Matter
    Pages 1-3

About this book


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.


Gauge theory Gravity Julius Wess deformed gauge theories noncommuative spacetime quantum groups

Bibliographic information

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