Dual space and hyperdimension of compact hypergroups
Representation Theory
2016-05-03 v3
Abstract
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.
Cite
@article{arxiv.1505.01409,
title = {Dual space and hyperdimension of compact hypergroups},
author = {Mahmood Alaghmandan and Massoud Amini},
journal= {arXiv preprint arXiv:1505.01409},
year = {2016}
}
Comments
Some revisions to Sections 3 following improvements suggested by the referee