The 3-cyclic quantum Weyl algebras, their prime spectra and a classification of simple modules (\(q\) is not a root of unity)
type: Item
instance of: scholarly article
title: The 3-cyclic quantum Weyl algebras, their prime spectra and a classification of simple modules (\(q\) is not a root of unity)
author: V. V. Bavula
published in: Journal of Noncommutative Geometry
publication date: 2024-08-27T00:00:00Z
Mathematics Subject Classification ID: 16D25
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 16D60
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16P50
zbMATH DE Number: 7902537
zbMATH Keywords: prime ideal
zbMATH Keywords: primitive ideal
zbMATH Keywords: weight module
zbMATH Keywords: generalized Weyl algebra
zbMATH Keywords: simple module
zbMATH Keywords: centralizer
MaRDI profile type: Publication
cites work: Filter dimension of algebras and modules, a simplicity criterion of generalized weyl algebras
cites work: Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras
cites work: Q4343358
cites work: The simple modules of the ore extensions with coefficients from a dedekind ring
cites work: Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras
cites work: Q4021409
cites work: Simple D[X, Y; ?,a]-modules
cites work: Description of two-sided ideals in a class of noncommutative rings. I
cites work: Description of two-sided ideals in a class of noncommutative rings. II
cites work: Description of bi-quadratic algebras on 3 generators with PBW basis
cites work: The prime spectrum and simple modules over the quantum spatial ageing algebra
cites work: The simple modules of certain generalized crossed products
cites work: Simple modules of the Witten-Woronowicz algebra.
cites work: The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
cites work: Q4888783
cites work: Quantum deformations of SU(2)
cites work: The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation
cites work: An analog of the Sklyanin algebra
cites work: ``Hidden symmetry'' of Askey-Wilson polynomials
DOI: 10.4171/JNCG/547
description: scientific article; zbMATH DE number 7902537