Automorphisms for Some Symmetric Multiparameter Quantized Weyl Algebras and Their Localizations
Document Type
Article
Publication Date
9-1-2017
Abstract
We study a family of "symmetric" multiparameter quantized Weyl algebras Anq,λ(K) and some related algebras. We compute the Nakayama automorphism of Anq,λ(K), give a necessary and sufficient condition for Anq,λ(K) to be Calabi-Yau, and prove that Anq,λ(K) is cancellative. We study the automorphisms and isomorphism problem for Anq,λ(K) and Anq,λ(K[t]). Similar results are established for the Maltsiniotis multiparameter quantized Weyl algebra AnΓ(K) and its polynomial extension. We prove a quantum analogue of the Dixmier conjecture for a simple localization (Anq,λ(K))Z and determine its automorphism group.
Recommended Citation
Tang, Xin, "Automorphisms for Some Symmetric Multiparameter Quantized Weyl Algebras and Their Localizations" (2017). College of Business and Economics. 35.
https://digitalcommons.uncfsu.edu/college_business_economics/35