English

Hypergroups Related to a Pair of Compact Hypergroups

Representation Theory 2016-11-21 v2

Abstract

The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup HH and a closed subhypergroup H0H_0 of HH with H/H0<+|H/H_0|< +\infty. The convolution of this hypergroup is introduced by inducing irreducible characters of H0H_0 to HH and by restricting irreducible characters of HH to H0H_0. The method of proof relies on the notion of an induced character and an admissible hypergroup pair.

Keywords

Cite

@article{arxiv.1605.07010,
  title  = {Hypergroups Related to a Pair of Compact Hypergroups},
  author = {Herbert Heyer and Satoshi Kawakami and Tatsuya Tsurii and Satoe Yamanaka},
  journal= {arXiv preprint arXiv:1605.07010},
  year   = {2016}
}
R2 v1 2026-06-22T14:07:14.337Z