2011/06/13 by Toshiaki Shoji, Shoji, Toshiaki, Nanhua Xi +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.1106.2422
26 pages
openalex publication_date 2011/06/13 · arxiv created 2011/06/29 · arxiv updated 2011/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show that an affine Hecke algebra Hq over complex numbers field with parameter q≠ 1 is not isomorphic to the group algebra over complex numbers field of the corresponding extend affine Weyl group if the corresponding root system has no factors of type A1 and the order of q is different from 11 and 13 if the root system has factors of type E8.