3 years ago

On representations of Fuss-Catalan algebras

Ahmed B. Hussein

Publication date: Available online 8 November 2018

Source: Journal of Algebra

Author(s): Ahmed B. Hussein

Abstract

In this paper, we study the representation theory of the Fuss-Catalan algebras, FCn(a,b). 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 [9], and hence, it is quasi-hereditary algebra if a,b are non-zero complex numbers.

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