Rigid dualizing complexes of affine Hecke algebras

2024/04/29 by Cautis, Sabin, Ollivier, Rachel
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2404.18601

Abstract

We identify the rigid dualizing complex of the (generic) affine Hecke algebra H_q attached to a reduced root system and deduce some structural properties as a consequence. For example, we show that the classical Hecke algebra H_q^± as well as H_q/q are, under a certain condition on the root system, Frobenius over their centers with Nakayama automorphism given by an explicit involution.

Related

• Double affine Hecke algebras at roots of unity
• The Rigid Dualizing Complex of a Universal Enveloping Algebra
• Calabi-Yau Nichols algebras of Hecke type
• The cocenter-representation duality
• Cocenters and representations of affine Hecke algebra