DUAL SPACE AND HYPERDIMENSION OF COMPACT HYPERGROUPS

作者:Alaghmandan Mahmood*; Amini Massoud
来源:Glasgow Mathematical Journal, 2017, 59(2): 421-435.
DOI:10.1017/S0017089516000252

摘要

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.

  • 出版日期2017-5