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Dual Space and Hyperdimension of Compact Hypergroups
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- Alaghmandan, Mahmood, 1983 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
- Amini, Massoud (author)
- (creator_code:org_t)
- 2017
- 2017
- English.
- In: Glasgow Mathematical Journal. - 0017-0895 .- 1469-509X. ; 59:2, s. 421-435
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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- ref (subject category)
- art (subject category)
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