Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
Online ISSN : 1883-2172
Print ISSN : 0373-6385
ISSN-L : 0373-6385
GENERALIZED SPIN MODELS AND ASSOCIATION SCHEMES
Eiichi BANNAIEtsuko BANNAI
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1993 Volume 47 Issue 2 Pages 397-409

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Abstract

The concept of spin model was defined by V. F. R. Jones. Recently, F. Jaeger discovered that Bose-Mesner algebras of association schemes are natural places to look for spin models. The purpose of this paper is to study connections between (generalized) generalized spin models and (not necessarily symmetric) association schemes. For arbitrary generalized generalized spin models, we can prove somewhat weaker versions of Jaeger's results. However, we prove the corresponding results of Jaeger in full strength for generalized spin models of Jones type.

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© 1993 by Department of Mathematics, Faculty of Science, Kyushu University
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