Minuscule and cominuscule Hecke categories

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Field	Value	Language
dc.contributor.author	Baine, Joseph Patrick
dc.date.accessioned	2024-06-05T02:00:11Z
dc.date.available	2024-06-05T02:00:11Z
dc.date.issued	2024	en
dc.identifier.uri	https://hdl.handle.net/2123/32630
dc.description.abstract	This thesis considers various problems in classical and modular Kazhdan-Lusztig theory. The main results are: - A complete determination of the antispherical p-Kazhdan-Lusztig bases of (co)minuscule Hecke categories in all characteristics; - A complete determination of the spherical p-Kazhdan-Lusztig bases of (co)minuscule Hecke categories in good characteristic; - A closed formula for the Jones-Wenzl idempotent in terms of the graded ranks of certain indecomposable Soergel bimodules; and - A proof of the monotonicity of inverse Kazhdan-Lusztig polynomials.	en
dc.language.iso	en	en
dc.subject	Kazhdan-Lusztig	en
dc.subject	Soergel bimodules	en
dc.subject	Hecke category	en
dc.title	Minuscule and cominuscule Hecke categories	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	Faculty of Science	en
usyd.department	School of Mathematics and Statistics	en
usyd.degree	Doctor of Philosophy Ph.D.	en
usyd.awardinginst	The University of Sydney	en
usyd.advisor	Williamson, Geordie
usyd.include.pub	No	en