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Title: On the representation theory of the Fuss-Catalan algebras
Author: Hussein, Ahmed Baqer
ISNI:       0000 0004 6421 8105
Awarding Body: University of Leeds
Current Institution: University of Leeds
Date of Award: 2017
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Throughout this thesis, we study the representation theory of the Fuss-Catalan algebras, $FC_{2,n}(a, b)$. We prove that these algebras are cellular and we define their cellular basis. In addition, we prove that they form a tower of recollement, and hence, they are quasi-hereditary. By calculating the Gram determinants of certain cell modules for the Fuss-Catalan algebras, we determine when these algebras are not semisimple. Finally, we end with defining homomorphisms between specified cell modules.
Supervisor: Parker, Alison ; Martin, Paul Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available