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arxiv: q-alg/9706003 · v1 · submitted 1997-06-03 · q-alg · math.QA

On the affine Temperley-Lieb algebras

C.K. Fan , R.M. Green This is my paper
classification q-alg math.QA
keywords affinealgebratemperley-liebalgebrasbasiscalculuscellconstruct
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We describe the cell structure of the affine Temperley-Lieb algebra with respect to a monomial basis. We construct a diagram calculus for this algebra.

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  1. Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors

    math.RT 2023-02 unverdicted novelty 6.0

    Introduces uncoiled affine and periodic Temperley-Lieb algebras as finite quotients and constructs explicit Wenzl-Jones idempotents projecting onto their one-dimensional modules, with Markov trace evaluations expresse...