Graded Representation Theory of Quiver Hecke algebras
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Open Access
Type
ThesisThesis type
Doctor of PhilosophyAuthor/s
Qin, TaoAbstract
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 polynomialsWe 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
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Date
2026Rights statement
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.Faculty/School
Faculty of Science, School of Mathematics and StatisticsAwarding institution
The University of SydneyShare