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Title: Homomorphisms between bubble algebra modules
Author: Jegan, Mahadevan
ISNI:       0000 0004 2735 4036
Awarding Body: City University
Current Institution: City, University of London
Date of Award: 2013
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In this thesis, we study the representation theory of the bubble algebras. We focus on determining the homomorphisms between cell modules for these algebras. We show that the bubble algebras are cellular, and form a tower of recollement. By decomposing Gram matrices we are able to determine homomorphisms in the one arc case. We determine a generating set for the algebra (and its cardinality), and use this with a hypercuboid approach to determine homomorphisms in the general case. We end with a conjectural alternative approach to the general case involving matrix methods.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics