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arXiv · 1503.03396

Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra

Maria Chlouveraki·Guillaume Pouchin
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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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BibTeXRIS

Maria Chlouveraki, Guillaume Pouchin. 2015-03-11. Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra. https://arxiv.org/abs/1503.03396

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