-algebras of finite type are certain finitely generated associative algebras closely related to the universal enveloping algebras of semisimple Lie algebras. In this article, we prove a conjecture of Premet that gives an almost complete classification of finite-dimensional irreducible modules for -algebras. A key ingredient in our proof is a relationship between Harish-Chandra bimodules and bimodules over -algebras that is also of independent interest.
"Finite-dimensional representations of -algebras." Duke Math. J. 159 (1) 99 - 143, 15 July 2011. https://doi.org/10.1215/00127094-1384800