Representation theory of geometric extension algebras

Abstract

We study the question of when geometric extension algebras are polynomial quasihereditary. Our main theorem is that under certain assumptions, a geometric extension algebra is polynomial quasihereditary if and only if it arises from an even resolution. We give an application to the construction of reflection functors for quiver Hecke algebras.

v3, 19pp

References in corpus (5)

• Affine highest weight categories and affine quasihereditary algebras
• Monoidality of Kato's Reflection Functors
• Tilting modules of affine quasi-hereditary algebras
• On the monoidality of Saito reflection functors
• Combinatorial Auslander-Reiten quivers and reduced expressions

Cited by in corpus (6)

• Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types
• Monoidality of Kato's Reflection Functors
• On the monoidality of Saito reflection functors
• Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories in general types
• KLR and Schur algebras for curves and semi-cuspidal representations
• Combinatorics of Fourier transforms for type A quiver representations