The PI Property of Graded Hecke Algebras

2006/08/14 by Katrin Eva Gehles, Gehles, Katrin E
Mathematics · #16R99 #16S35 #20C08 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.math/0608341

openalex publication_date 2006/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that graded Hecke algebras are PI algebras if and only if they are finitely generated over their centres if and only if the deformation parameters t_i are zero for all i=1,…,N. This generalises a result for symplectic reflection algebras by Etingof - Ginzburg and Brown - Gordon.

Related

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