Dimer representations of the Temperley-Lieb algebra

preprint2014arXivOpen access

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

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Dimer representations of the Temperley-Lieb algebra

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0