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Duality and Entropy for Finite Commutative Hypergroups and Fusion Rule Algebras
Author(s) -
Wildberger N. J.
Publication year - 1997
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610797005401
Subject(s) - mathematics , commutative property , pure mathematics , fusion rules , duality (order theory) , entropy (arrow of time) , conformal map , conformal field theory , fusion , algebra over a field , mathematical analysis , physics , quantum mechanics , linguistics , philosophy , image fusion
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.