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arXiv · 1605.03744

Hypergroups arising from characters of a compact group and its subgroup

Hebert Heyer·Satoshi Kawakami·Tatsuya Tsurii·Satoe Yamanaka
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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.

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Hebert Heyer, Satoshi Kawakami, Tatsuya Tsurii, Satoe Yamanaka. 2016-05-12. Hypergroups arising from characters of a compact group and its subgroup. https://arxiv.org/abs/1605.03744

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