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Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra (1503.03396v3)
Published 11 Mar 2015 in math.RT
Abstract: In this paper, we describe the irreducible representations and give a dimension formula for the Framisation of the Temperley-Lieb algebra. We then prove that the Framisation of the Temperley-Lieb algebra is isomorphic to a direct sum of matrix algebras over tensor products of classical Temperley-Lieb algebras. This allows us to construct a basis for it. We also study in a similar way the Complex Reflection Temperley-Lieb algebra.
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