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2 - GroupTheory

Published online by Cambridge University Press:  08 December 2022

Esko Keski-Vakkuri ,
Claus Montonen  and
Marco Panero
Esko Keski-Vakkuri
Affiliation:
University of Helsinki
Claus Montonen
Affiliation:
University of Helsinki
Marco Panero
Affiliation:
Università degli Studi di Torino, Italy
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Summary

After defining the basic concepts of group theory, we discuss some particularly interesting finite groups. Then, we introduce the formalism of Young diagrams and an alternative definition of groups through their presentation. The final part of the chapter is devoted to continuous groups and to groups acting on a set.

Keywords

Groupsfinite groupspermutationsYoung diagramspresentationscontinuous groups
Type
Chapter
Information
Mathematical Methods for Physics
An Introduction to Group Theory, Topology and Geometry
 , pp. 4 - 51
Publisher: Cambridge University Press
Print publication year: 2022

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  • GroupTheory
  • Esko Keski-Vakkuri, University of Helsinki, Claus Montonen, University of Helsinki, Marco Panero, Università degli Studi di Torino, Italy
  • Book: Mathematical Methods for Physics
  • Online publication: 08 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781108120531.002
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  • GroupTheory
  • Esko Keski-Vakkuri, University of Helsinki, Claus Montonen, University of Helsinki, Marco Panero, Università degli Studi di Torino, Italy
  • Book: Mathematical Methods for Physics
  • Online publication: 08 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781108120531.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • GroupTheory
  • Esko Keski-Vakkuri, University of Helsinki, Claus Montonen, University of Helsinki, Marco Panero, Università degli Studi di Torino, Italy
  • Book: Mathematical Methods for Physics
  • Online publication: 08 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781108120531.002
Available formats
×