Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure
| dc.contributor.advisor | Kleshchev, Alexander | |
| dc.contributor.author | Buursma, Doeke | |
| dc.date.accessioned | 2020-09-24T17:21:38Z | |
| dc.date.available | 2020-09-24T17:21:38Z | |
| dc.date.issued | 2020-09-24 | |
| dc.description.abstract | We give an explicit description of the category of Yoneda extensions of standard modules over KLR algebras for two special cases in Lie type A. In these two special cases, the A-infinity category structure of the Yoneda category is formal. We give an example to show that, in general, the A-infinity category structure of the Yoneda category is non-formal. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/25676 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | A-infinity Algebras | en_US |
| dc.subject | Categorification | en_US |
| dc.subject | Homological Algebra | en_US |
| dc.subject | Khovanov-Lauda-Rouquier Algebras | en_US |
| dc.subject | Representation Theory | en_US |
| dc.title | Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure | |
| 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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