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DUAL SPACE AND HYPERDIMENSION OF COMPACT HYPERGROUPS

Published online by Cambridge University Press:  10 June 2016

MAHMOOD ALAGHMANDAN
Affiliation:
Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg SE-412 96, Sweden e-mail: mahala@chalmers.se
MASSOUD AMINI
Affiliation:
Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran e-mail: mamini@modares.ac.ir
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Abstract

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We characterize dual spaces and compute hyperdimensions of irreducible representations for two classes of compact hypergroups namely conjugacy classes of compact groups and compact hypergroups constructed by joining compact and finite hypergroups. Also, studying the representation theory of finite hypergroups, we highlight some interesting differences and similarities between the representation theories of finite hypergroups and finite groups. Finally, we compute the Heisenberg inequality for compact hypergroups.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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