Dual space and hyperdimension of compact hypergroups

Mahmood Alaghmandan; Massoud Amini

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arXiv · 1505.01409

Dual space and hyperdimension of compact hypergroups

Mahmood Alaghmandan·Massoud Amini

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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.

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BibTeX RIS

Mahmood Alaghmandan, Massoud Amini. 2015-05-06. Dual space and hyperdimension of compact hypergroups. https://arxiv.org/abs/1505.01409

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