On the semi-simplicity of cyclotomic Temperley-Lieb algebras.
The algebras in the title have been introduced by the first two authors [Comment. Math. Helv. 79, No. 2, 427--450 (2004; Zbl 1068.16012)]. Here, they completely determine when these algebras are semisimple. The techniques are similar to those used recently for Brauer algebras and their generalisations [\textit{W. F. Doran IV, P. J. Hanlon} and \textit{D. B. Wales}, J. Algebra 211, No. 2, 647--685 (1999; Zbl 0944.16002), \textit{H. Rui} and \textit{W. Yu}, J. Algebra 277, No. 1, 187--221 (2004; Zbl 1068.16013)]; branching rules, and induction and restriction between algebras indexed by \(n\) or \(n+2\), respectively.
scientific article; zbMATH DE number 2187046