Canonical basis, KLR-algebras and parity sheaves

Abstract

We give a construction of a basis of the positive part of the Drinfeld-Jimbo quantum enveloping algebra associated with a Dynkin quiver in terms of parity sheaves.

References in corpus (7)

• A diagrammatic approach to categorification of quantum groups I
• 2-Kac-Moody algebras
• Quiver varieties and cluster algebras
• Quiver varieties and tensor products
• Quantum Grothendieck rings and derived Hall algebras
• Quiver Schur algebras and q-Fock space
• Quiver Hecke algebras and 2-Lie algebras

Cited by in corpus (7)

• Parity Sheaves
• Quiver Schur algebras and q-Fock space
• Representation theory of geometric extension algebras
• Representations of Khovanov-Lauda-Rouquier algebras III: Symmetric Affine Type
• Folding KLR algebras
• KLR and Schur algebras for curves and semi-cuspidal representations
• Flag versions of quiver Grassmannians for Dynkin quivers have no odd cohomology