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Actions of Finite Hypergroups and Examples

  • V. S. Sunder
  • N. J. Wildberger
Conference paper
Part of the Trends in Mathematics book series (TM)

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.

Keywords

Finite Group Regular Graph Association Scheme Character Table Measure Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • V. S. Sunder
    • 1
  • N. J. Wildberger
    • 2
  1. 1.Institute of Mathematical SciencesMadrasIndia
  2. 2.School of MathematicsUniversity of New South WalesSydneyAustralia

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