On representations of affine Temperley-Lieb algebras, II

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Abstract

We study some non-semisimple representations of affine Temperley-Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules. Moreover, we construct a completion which is an infinite dimensional cellular algebra.

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Erdmann, K., & Green, R. M. (1999). On representations of affine Temperley-Lieb algebras, II. Pacific Journal of Mathematics, 191(2), 243–273. https://doi.org/10.2140/pjm.1999.191.243

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