Graded Representation Theory of Quiver Hecke algebras

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Open Access

Field	Value	Language
dc.contributor.author	Qin, Tao
dc.date.accessioned	2026-05-04T03:40:25Z
dc.date.available	2026-05-04T03:40:25Z
dc.date.issued	2026	en
dc.identifier.uri	https://hdl.handle.net/2123/35263
dc.description.abstract	We study the representation theory of quiver Hecke algebras of affine type A from several perspectives: we construct generalized Specht filtrations of permutation modules, give a partial categorification of the runner-removal theorem, and study the combinatorics connecting graded decomposition numbers and parabolic Kazhdan--Lusztig polynomials	en
dc.language.iso	en	en
dc.subject	Hecke algebras	en
dc.subject	KLR algebras	en
dc.subject	representation theory	en
dc.subject	algebraic combinatorics	en
dc.subject	Subdivision	en
dc.subject	Specht filtration	en
dc.title	Graded Representation Theory of Quiver Hecke algebras	en
dc.type	Thesis
dc.type.thesis	Doctor of Philosophy	en
dc.rights.other	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
usyd.faculty	SeS faculties schools::Faculty of Science::School of Mathematics and Statistics	en
usyd.degree	Doctor of Philosophy Ph.D.	en
usyd.awardinginst	The University of Sydney	en
usyd.advisor	Bowman, Chris
usyd.include.pub	No	en