Hypergroups Related to a Pair of Compact Hypergroups
Copyright policy )Hypergroups Related to a Pair of Compact Hypergroups
The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup $H$ and a closed subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and by restricting irreducible characters of $H$ to $H_0$. The method of proof relies on the notion of an induced character and an admissible hypergroup pair.
- University of Tübingen Germany
- Nara Women's University Japan
- Osaka Metropolitan University Japan
- Nara University of Education Japan
22D30, 22F50, 20N20, 43A62, Induced representations for locally compact groups, semi-direct product hypergroup, hypergroup, induced character, Groups as automorphisms of other structures, FOS: Mathematics, admissible hypergroup pair, Representation Theory (math.RT), Hypergroups, Harmonic analysis on hypergroups, Mathematics - Representation Theory
22D30, 22F50, 20N20, 43A62, Induced representations for locally compact groups, semi-direct product hypergroup, hypergroup, induced character, Groups as automorphisms of other structures, FOS: Mathematics, admissible hypergroup pair, Representation Theory (math.RT), Hypergroups, Harmonic analysis on hypergroups, Mathematics - Representation Theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!