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Actions of Finite Hypergroups and Examples

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Harmonic Analysis and Hypergroups

Part of the book series: Trends in Mathematics ((TM))

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Abstract

This paper is an introduction to the theory of actions of finite hypergroups, particularly commutative ones. We present some basic facts concerning actions and then proceed to classify irreducible *-actions of hypergroups of order two, the class and character hypergroups of S3 and of the Golden hypergroup —which arises from the pentagon when viewed as a strongly regular graph.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematical Sciences, Madras, 600113, India

    V. S. Sunder

  2. School of Mathematics, University of New South Wales, Sydney, 2052, Australia

    N. J. Wildberger

Authors
  1. V. S. Sunder
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  2. N. J. Wildberger
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of Oregon, 97403, Eugene, OR, USA

    K. A. Ross

  2. Dept. of Mathematics, University of Delhi, Delhi, India

    A. I. Singh

  3. Dept. of Mathematics, University College London, London, UK

    J. M. Anderson

  4. The Institute of Math. Sciences, CIT Campus, Taramani, Chennai, India

    V. S. Sunder

  5. Centre for Optimization and Mathematical Modeling, Institute for Technologies, Moscow, Russia

    G. L. Litvinov

  6. School of Mathematics, Univ. of New South Wales, Sidney, NSW, Australia

    N. J. Wildberger

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© 1998 Springer Science+Business Media New York

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Sunder, V.S., Wildberger, N.J. (1998). Actions of Finite Hypergroups and Examples. In: Ross, K.A., Singh, A.I., Anderson, J.M., Sunder, V.S., Litvinov, G.L., Wildberger, N.J. (eds) Harmonic Analysis and Hypergroups. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4348-5_10

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  • DOI: https://doi.org/10.1007/978-0-8176-4348-5_10

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4899-0158-3

  • Online ISBN: 978-0-8176-4348-5

  • eBook Packages: Springer Book Archive

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