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.identifier.uri |
https://scholarsbank.uoregon.edu/xmlui/handle/1794/29277 |
|
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.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.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|