R. M. Green
Published 2023-01-29Version 1
We study the finite-dimensional simple modules, over an algebraically closed field, of the affine Temperley--Lieb algebra corresponding to the affine Weyl group of type $A$. These turn out to be closely related to the simple modules for a certain $q$-analogue of the annular algebra of V.F.R. Jones.
Comments: 24 pages, 3 figures. This paper was published in 1998 in the Proceedings of the 8th International Conference on Representations of Algebras
Journal: Algebras and modules II, Canadian Mathematical Society Conference Proceedings 24 (1998), 245--261
Representations of n-Lie algebras
Tits groups of affine Weyl groups
On tensor categories attached to cells in affine Weyl groups
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