Graded Decomposition Numbers in Type A

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Field	Value	Language
dc.contributor.author	Gibson, Matthew
dc.date.accessioned	2014-08-21
dc.date.available	2014-08-21
dc.date.issued	2013-05-24
dc.identifier.uri	http://hdl.handle.net/2123/11676
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
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
dc.title	Graded Decomposition Numbers in Type A	en
dc.type	Thesis	en
dc.type.thesis	Masters by Research	en
usyd.faculty	Faculty of Science, School of Mathematics and Statistics	en
usyd.department	Pure Mathematics	en
usyd.degree	Master of Science M.Sc.	en
usyd.awardinginst	The University of Sydney	en