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S N

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An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

Part of the book series: Lecture Notes in Physics ((LNP,volume 858))

Abstract

In this chapter, we study the symmetric group S N, which consists of all possible permutations among N objects. In particular, we study S 3 and S 4, and show their group-theoretical aspects such as conjugacy classes, characters, representations and tensor products.

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References

  1. Hamermesh, M.: Group Theory and Its Application to Physical Problems. Addison-Wesley, Reading (1962)

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Authors and Affiliations

  1. Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMJ), Nagoya University, Nagoya, Japan

    Hajime Ishimori

  2. School of Physics, Korean Institute for Advanced Study, Seoul, Korea

    Tatsuo Kobayashi

  3. Department of Physics, Kyoto University, Kyoto, Japan

    Hiroshi Ohki

  4. Department of Physics, Niigata University, Niigata, Japan

    Hiroshi Okada

  5. Department of Physics, Niigata University, Niigata, Japan

    Yusuke Shimizu

  6. Department of Physics, Niigata University, Niigata, Japan

    Morimitsu Tanimoto

Authors
  1. Hajime Ishimori
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  2. Tatsuo Kobayashi
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  3. Hiroshi Ohki
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  4. Hiroshi Okada
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  5. Yusuke Shimizu
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  6. Morimitsu Tanimoto
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© 2012 Springer-Verlag Berlin Heidelberg

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Ishimori, H., Kobayashi, T., Ohki, H., Okada, H., Shimizu, Y., Tanimoto, M. (2012). S N . In: An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists. Lecture Notes in Physics, vol 858. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30805-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-30805-5_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30804-8

  • Online ISBN: 978-3-642-30805-5

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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