Triple systems of Hecke type and hypergroups (Q2751521)
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scientific article; zbMATH DE number 1664898
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Triple systems of Hecke type and hypergroups |
scientific article; zbMATH DE number 1664898 |
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22 July 2002
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Hecke algebra
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hypergroup
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associated triple systems
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0.88749397
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0.8865596
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0.8847048
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0.88143706
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Triple systems of Hecke type and hypergroups (English)
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If \((U,G)\) is a Hecke-pair, i.e., \(U\) is a subgroup of the discrete group \(G\) such that each double coset \(UgU\) consists of finitely many cosets \(hU\), then the associated Hecke algebra may be regarded as a hypergroup after a suitable normalization. In the paper under review, the author studies so-called associated triple systems formed by double cosets of the form \(VgW\) with \(V,W\) subgroups of \(G\) commensurable with \(U\). After normalization, one obtains so-called associative hypergroup triple systems.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00042].
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