Bases and BGG resolutions of simple modules of Temperley-Lieb algebras of type B
arXiv:1912.07399
Abstract
We construct explicit bases of simple modules and Bernstein-Gelfand-Gelfand (BGG) resolutions of all simple modules of the (graded) Temperley-Lieb algebra of type B over a field of characteristic zero.
35 pages, 12 figures To appear in International Mathematics Research Notices (2021)