A SPECIAL ENDOMORPHISM OF THE STANDARD GAITSGORY CENTRAL OBJECT OF THE AFFINE HECKE CATEGORY
| dc.contributor.advisor | Elias, Ben | |
| dc.contributor.author | Hathaway, Jay | |
| dc.date.accessioned | 2024-03-25T17:20:56Z | |
| dc.date.available | 2024-03-25T17:20:56Z | |
| dc.date.issued | 2024-03-25 | |
| dc.description.abstract | Using the combinatorial description of the standard Gaitsgory centralobject of the (extended, graded) affine type A Hecke category due to Elias, we show the existence of and explicitly describe the unique endomorphism that lifts right multiplication by the i-th fundamental weight on the i-th component of the associated graded of its Wakimoto filtration. We give work in progress on describing a conjectural program to categorify the Vershik-Okounkov approach to the representation theory of the affine Hecke algebra. Here this endomorphism will play a role. This is the affine version of the program described by Gorsky, Negut, and Rasmussen in finite type A. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/29277 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | Algebra | en_US |
| dc.subject | Algebraic Geometry | en_US |
| dc.subject | Categorification | en_US |
| dc.subject | Representation Theory | en_US |
| dc.title | A SPECIAL ENDOMORPHISM OF THE STANDARD GAITSGORY CENTRAL OBJECT OF THE AFFINE HECKE CATEGORY | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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