Abstract
Irreducibility for cellular algebras can be investigated by solving problems in linear algebra. In this work, we discuss a large family of cell modules over Fuss-Catalan algebras and describe dimensions and basis diagrams of these cell modules. Also, conditions for these modules to be irreducible are determined by their Gram matrices and determinants.
Funding Statement
The author thanks Mustansiriyah University
(www.uomustansiriyah.edu.iq) Baghdad-Iraq for its support in the present work.
Citation
Ahmed B. Hussein. "Irreducibility of Certain $FC_n$-Modules." Missouri J. Math. Sci. 33 (2) 127 - 136, November 2021. https://doi.org/10.35834/2021/3302127
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