On amorphic C-algebras

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An 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.

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Combinatorics, 20C05 05E30

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http://salesiana.dossiersoluciones.com/handle/123456789/104785

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511129
 http://arxiv.org/abs/math/0511129

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arXiv