1995/01/01 by Anthony Joseph, Gail Letzter · 1 citation
Computer Science · #Intelligent Tutoring Systems and Adaptive Learning #Logic, programming, and type systems #Advanced Algebra and Logic
paper · pdf · doi:10.24033/asens.1723
openalex publication_date 1995/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
Let Uq (fl) be the well-known quantization of the enveloping algebra of a semisimple Lie algebra discovered independently by Drinfeld and Jimbo.The main result of this paper is that the "simply connected" version of Uq(Q) has the property that the annihilator of any Verma module is generated by the intersection with the centre, whilst this fails for Uq(Q) itself.As a consequence an equivalence between highest weight and Harish-Chandra categories is obtained and this gives as a corollary a Duflo theorem for Prim Uq(^).This relates Prim Uq (fl) to Prim U(^).Finally it is noted that a natural analogue of Kostant's primeness result fails for Uq (g).