On representations of affine Temperley-Lieb algebras. (English) Zbl 0940.20049
Reiten, Idun (ed.) et al., Algebras and modules II. Eighth international conference on representations of algebras, Geiranger, Norway, August 4-10, 1996. Providence, RI: American Mathematical Society. CMS Conf. Proc. 24, 245-261 (1998).
Author’s abstract: We study the finite-dimensional simple modules, over an algebraically closed field, of the 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.
For the entire collection see [Zbl 0894.00037].
For the entire collection see [Zbl 0894.00037].
Reviewer: W.H.Gustafson (Lubbock)
MSC:
| 20G05 | Representation theory for linear algebraic groups |
| 16D60 | Simple and semisimple modules, primitive rings and ideals in associative algebras |
| 20F55 | Reflection and Coxeter groups (group-theoretic aspects) |
| 16G99 | Representation theory of associative rings and algebras |
| 20C08 | Hecke algebras and their representations |
| 16S99 | Associative rings and algebras arising under various constructions |
