Rigid dualizing complexes of affine Hecke algebras

التفاصيل البيبلوغرافية
العنوان: Rigid dualizing complexes of affine Hecke algebras
المؤلفون: Cautis, Sabin, Ollivier, Rachel
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Representation Theory, Mathematics - Rings and Algebras
الوصف: 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.
Comment: 20 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.18601
رقم الأكسشن: edsarx.2404.18601
قاعدة البيانات: arXiv