Categorical Actions on Supercategory O
| 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.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.identifier.uri | https://hdl.handle.net/1794/20704 | |
| 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.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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