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 expressed via Chebyshev polynomials.
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Sandwich cellularity is presented as a version of cell theory for algebras and applied to Hecke algebras plus monoid and diagram algebras.
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Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors
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 expressed via Chebyshev polynomials.
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Sandwich cellularity and a version of cell theory
Sandwich cellularity is presented as a version of cell theory for algebras and applied to Hecke algebras plus monoid and diagram algebras.