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math-ph2012★ 22 cited
Standard Modules, Induction and the Temperley-Lieb Algebra
David Ridout, Yvan Saint-Aubin
The basic properties of the Temperley-Lieb algebra with parameter , for any non-zero complex number, are reviewed in a pedagogical way. The link and stand…
math-ph2012★ 17 cited
A homomorphism between link and XXZ modules over the periodic Temperley-Lieb algebra
Alexi Morin-Duchesne, Yvan Saint-Aubin
We study finite loop models on a lattice wrapped around a cylinder. A section of the cylinder has N sites. We use a family of link modules over the periodic Temperley-Lieb algebra…