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Title: On Morita equivalences between KLR algebras and VV algebras
Author: Walker, Ruari
ISNI:       0000 0004 5919 6300
Awarding Body: University of East Anglia
Current Institution: University of East Anglia
Date of Award: 2016
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This thesis is investigative work into the properties of a recently defined family of graded algebras, which we call VV algebras. These algebras were defined by Varagnolo and Vasserot. We compare categories of modules over KLR algebras with categories of modules over VV algebras, establishing various Morita equivalences. Using these Morita equivalences we are able to prove several properties of certain classes of VV algebras such as affine cellularity and affine quasi-heredity. We also include a discussion about the problems encountered when trying to define finite-dimensional quotients of these algebras. Finally, in certain settings, we show how to define these quotients and explain how they relate to cyclotomic KLR algebras.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available