Sunder, V. S. ; Wildberger, N. J. (2003) Actions of finite hypergroups Journal of Algebraic Combinatorics, 18 (2). pp. 135-151. ISSN 0925-9899
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Official URL: http://www.springerlink.com/content/h01t36j9517x67...
Related URL: http://dx.doi.org/10.1023/A:1025107014451
Abstract
This paper is concerned with actions of finite hypergroups on sets. After introducing the definitions in the first section, we use the notion of maximal actions to characterise those hypergroups which arise from association schemes, introduce the natural sub-class of -actions of a hypergroup and introduce a geometric condition for the existence of *actions of a Hermitian hypergroup. Following an insightful suggestion of Eiichi Bannai we obtain an example of the surprising phenomenon of a 3-element hypergroup with infinitely many pairwise inequivalent irreducible * -actions.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Hypergroups; *Actions; Association Schemes |
| ID Code: | 76180 |
| Deposited On: | 31 Dec 2011 08:28 |
| Last Modified: | 31 Dec 2011 08:28 |
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