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arXiv · 2301.12367

On Representations of Affine Temperley--Lieb Algebras

R. M. Green
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Abstract

We study the finite-dimensional simple modules, over an algebraically closed field, of the affine Temperley--Lieb algebra corresponding to the affine Weyl group of type $A$. These turn out to be closely related to the simple modules for a certain $q$-analogue of the annular algebra of V.F.R. Jones.

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R. M. Green. 2023-01-29. On Representations of Affine Temperley--Lieb Algebras. https://arxiv.org/abs/2301.12367

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