Dimer representations of the Temperley-Lieb algebra
Abstract
A new spin-chain representation of the Temperley-Lieb algebra TLn(β=0) is introduced and related to the dimer model. Unlike the usual XXZ spin-chain representations of dimension 2n, this dimer representation is of dimension 2n-1. A detailed analysis of its structure is presented and found to yield indecomposable zigzag modules.
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