Hypergroups arising from characters of a compact group and its subgroup
Representation Theory
2016-05-13 v1 Operator Algebras
Abstract
The purpose of the present paper is to investigate a hypergroup arising from irreducible characters of a compact group G and a closed subgroup of G with finite index. The convolution of this hypergroup is introduced by inducing irreducible representations and by restricting irreducible representations. The method of proof relies on character formulae of induced representations of compact groups and of Frobenius' reciprocity theorem.
Cite
@article{arxiv.1605.03744,
title = {Hypergroups arising from characters of a compact group and its subgroup},
author = {Hebert Heyer and Satoshi Kawakami and Tatsuya Tsurii and Satoe Yamanaka},
journal= {arXiv preprint arXiv:1605.03744},
year = {2016}
}