Dual space and hyperdimension of compact hypergroups
Artikel i vetenskaplig tidskrift, 2017

We characterize dual spaces and compute hyperdimensions of irreducible representations for two classes of compact hypergroups namely conjugacy classes of compact groups and compact hypergroups constructed by joining compact and finite hypergroups. Also, studying the representation theory of finite hypergroups, we highlight some interesting differences and similarities between the representation theories of finite hypergroups and finite groups. Finally, we compute the Heisenberg inequality for compact hypergroups.

uncertainty principle

centers

Mathematics

algebras

amenability

Författare

Mahmood Alaghmandan

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

M. Amini

Tarbiat Modares University

Glasgow Mathematical Journal

0017-0895 (ISSN) 1469-509X (eISSN)

Vol. 59 2 421-435

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1017/s0017089516000252