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|dc.description.abstract||This thesis is concerned with the representations and graded decomposition numbers of Hecke algebras and q-Schur algebras. Using the theory of graded cellular algebras and the combinatorics of the e-abacus, we derive a formula for the graded decomposition numbers in the Rouquier block of the q-Schur algebra. In combination with the combinatorics of Scopes equivalence classes of blocks and restriction, this formula allows us to compute a graded analogue of a known formula for the decomposition numbers of weight 2 blocks of q-Schur algebra.||en_AU|
|dc.publisher||University of Sydney.||en_AU|
|dc.rights||The author retains copyright of this thesis. It may only be used for the purposes of research and study. It must not be used for any other purposes and may not be transmitted or shared with others without prior permission.||en_AU|
|dc.title||Graded Decomposition Numbers in Type A||en_AU|
|dc.type.pubtype||Master of Science M.Sc.||en_AU|
|dc.description.disclaimer||Access is restricted to staff and students of the University of Sydney . UniKey credentials are required. Non university access may be obtained by visiting the University of Sydney Library.||en_AU|
|Appears in Collections:||Sydney Digital Theses (University of Sydney Access only)|
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