dc.contributor.advisor |
Brundan, Jonathan |
|
dc.contributor.author |
Davidson, Nicholas |
|
dc.date.accessioned |
2016-11-21T16:58:19Z |
|
dc.date.available |
2016-11-21T16:58:19Z |
|
dc.date.issued |
2016-11-21 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/20704 |
|
dc.description.abstract |
This dissertation uses techniques from the theory of categorical actions of Kac-Moody algebras to study the analog of the BGG category O for the queer Lie superalgebra. Chen recently reduced many questions about this category to its so-called types A, B, and C blocks. The type A blocks were completely described in joint work with Brundan in terms of the general linear Lie superalgebra. This dissertation proves that the type C blocks admit the structure of a tensor product categorification of the n-fold tensor power of the natural sp_\infty-module. Using this result, we relate the combinatorics for these blocks to Webster’s orthodox bases for the quantum group of type C_\infty, verifying the truth of a recent conjecture of Cheng-Kwon-Wang. This dissertation contains coauthored material. |
en_US |
dc.language.iso |
en_US |
|
dc.publisher |
University of Oregon |
|
dc.rights |
All Rights Reserved. |
|
dc.subject |
Categorification |
en_US |
dc.subject |
Kac-Moody |
en_US |
dc.subject |
Representation Theory |
en_US |
dc.subject |
Superalgebra |
en_US |
dc.subject |
Supercategorification |
en_US |
dc.subject |
Supercategory |
en_US |
dc.title |
Categorical Actions on Supercategory O |
|
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 |
|