On representations of Fuss-Catalan algebras
Publication date: Available online 8 November 2018
Source: Journal of Algebra
Author(s): Ahmed B. Hussein
In this paper, we study the representation theory of the Fuss-Catalan algebras, . We prove that this algebra is cellular with a cellular basis and forms a tower of recollement, as defined by Cox, Martin, Parker, and Xi , and hence, it is quasi-hereditary algebra if are non-zero complex numbers.