Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure
Loading...
Date
2020-09-24
Authors
Buursma, Doeke
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon
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.
Description
Keywords
A-infinity Algebras, Categorification, Homological Algebra, Khovanov-Lauda-Rouquier Algebras, Representation Theory