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Title: Some topics in the representation theory of Brauer algebras
Author: Colligan, Mark
Awarding Body: University of Kent
Current Institution: University of Kent
Date of Award: 2012
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This thesis is concerned with the representation theory of the Brauer algebra over an algebraically closed field of arbitrary characteristic. There are two main themes, given as follows. Firstly, we describe some classes of simple modules for the Brauer algebras with parameters ±2. Secondly, we derive a combinatorial basis of the vector space of homomorphisms from one permutation module to another. We do the same for the vector space of homomorphisms from a permutation module to a cell module. Using these bases, we show that every homomorphism from a permutation module to a cell module factors through the permutation module whose label agrees with that of the cell module.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available