Representation theory for dilute lattice models

Details Representation theory for dilute lattice models Representation theory for dilute lattice models

2004-03-16

arxiv.org/abs/math/0403258v1

Mathematics

Quantum Algebra

LaTeX, 16 pages, no figures

Scientific paper

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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