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arXiv · 2404.18601

Rigid dualizing complexes of affine Hecke algebras

Sabin Cautis·Rachel Ollivier
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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 $H_{q^\pm}$ 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.

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Sabin Cautis, Rachel Ollivier. 2024-04-29. Rigid dualizing complexes of affine Hecke algebras. https://arxiv.org/abs/2404.18601

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