Stratifying KLR algebras of affine ADE types

Abstract

We generalize imaginary Howe duality for KLR algebras of affine ADE types, developed in our previous paper, from balanced to arbitrary convex preorders. Under the assumption that the characteristic of the ground field is greater than some explicit bound, we prove that these KLR algebras are properly stratified.

Added new subsection 5.6 detailing the proofs of Theorems 1 and 2. Some other minor changes incorporating suggestions of referee