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Representation theory for dilute lattice models

Bruce W Westbury
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Abstract

In this paper we study the representation theory of the algebras generated by the single bond transfer matrices in dilute lattice models. This representation theory is related to a tensor product of monoidal categories. This construction is illustrated by an elementary example and by the dilute Temperley-Lieb algebras.

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Bruce W Westbury. 2004-03-16. Representation theory for dilute lattice models. https://arxiv.org/abs/math/0403258

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