Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier Algebras of type A

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Field	Value	Language
dc.contributor.author	Li, Ge Jr
dc.date.accessioned	2012-12-12
dc.date.available	2012-12-12
dc.date.issued	2012-12-12
dc.identifier.uri	http://hdl.handle.net/2123/8844
dc.description.abstract	The main purpose of this thesis is to prove that the cyclotomic Khovanov-Lauda-Rouquier algebras of type A over Z are free by giving a graded cellular basis of the cyclotomic KLR algebra. We then extend it to obtain a graded cellular basis of the affine KLR algebra, which indicates that the affine KLR algebra is an affine graded cellular algebra. Finally we work with the Jucys-Murphy elements of the cyclotomic Hecke algebras of type A and proved a periodic property of these elements.	en_AU
dc.rights	The author retains copyright of this thesis.
dc.subject	Representation theory	en_AU
dc.subject	KLR algebras	en_AU
dc.subject	Hecke algebras	en_AU
dc.title	Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier Algebras of type A	en_AU
dc.type	Thesis	en_AU
dc.date.valid	2012-01-01	en_AU
dc.type.thesis	Doctor of Philosophy	en_AU
usyd.faculty	Faculty of Science, School of Mathematics and Statistics	en_AU
usyd.department	Pure Mathematics	en_AU
usyd.degree	Doctor of Philosophy Ph.D.	en_AU
usyd.awardinginst	The University of Sydney	en_AU