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DUALITY AND ENTROPY FOR FINITE COMMUTATIVE HYPERGROUPS AND FUSION RULE ALGEBRAS

Published online by Cambridge University Press:  01 October 1997

N. J. WILDBERGER
N. J. WILDBERGER
Affiliation:
School of Mathematics, University of New South Wales, Sydney 2052, Australia
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Abstract

We develop a theory of harmonic analysis and duality for finite commutative hypergroups by considering somewhat more general objects called signed hypergroups. A notion of entropy is defined, and a Second Law of Thermodynamics is established. Applications to group theory and to the fusion rule algebras of conformal field theory are given.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 275 - 291
Copyright
The London Mathematical Society 1997

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