Representation theory for dilute lattice models

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.

arXiv commentLaTeX, 16 pages, no figures

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Cited by in corpus (1)

• Rational R-matrices, centralizer algebras and tensor identities for e_6 and e_7 exceptional families of Lie algebras