On amorphic C-algebras

dc.creatorPonomarenko, Ilia
dc.creatorBarghi, A. Rahnamai
dc.date2005-11-05
dc.date2006-01-02
dc.date.accessioned2026-07-07T06:50:49Z
dc.date.available2026-07-07T06:50:49Z
dc.descriptionAn amorphic association scheme has the property that any of its fusion is also an association scheme. In this paper we generalize the property to be amorphic to an arbitrary C-algebra and prove that any amorphic C-algebra is determined up to isomorphism by the multiset of its degrees and an additional integer equal 1 or -1. Moreover, we show that any amorphic C-algebra with rational structure constants is the fusion of an amorphic homogeneous C-algebra. Finally, as a special case of our results we obtain the well-known Ivanov's characterization of intersection numbers of amorphic association schemes.
dc.identifierhttps://arxiv.org/abs/math/0511129
dc.identifierhttp://arxiv.org/abs/math/0511129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104785
dc.subjectCombinatorics
dc.subject20C05 05E30
dc.titleOn amorphic C-algebras
dc.typetext

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