3 papers
math.AG2025
Abelian Hall categories
Sabin Cautis
To a quiver we associate a finite length monoidal abelian category which categorifies the corresponding preprojective K-theoretic Hall algebra of Varagnolo-Vasserot. The simples in…
math.RT2025
On the center of the generic affine Hecke algebra
Sabin Cautis, Rachel Ollivier
We identify the center of the generic affine Hecke algebra corresponding to some root datum with the semigroup algebra of the dominant chamber of i…
math.RT2024
Rigid dualizing complexes of affine Hecke algebras
Sabin Cautis, Rachel Ollivier
We identify the rigid dualizing complex of the (generic) affine Hecke algebra attached to a reduced root system and deduce some structural properties as a consequence. For ex…