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Mathematics > Representation Theory

Title: Rigid dualizing complexes of affine Hecke algebras

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.
Comments: 20 pages
Subjects: Representation Theory (math.RT); Rings and Algebras (math.RA)
Cite as: arXiv:2404.18601 [math.RT]
  (or arXiv:2404.18601v1 [math.RT] for this version)

Submission history

From: Sabin Cautis [view email]
[v1] Mon, 29 Apr 2024 11:15:26 GMT (31kb)

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