The prime spectrum and simple modules over the quantum spatial ageing algebra

DOI10.1007/S10468-016-9613-8zbMath1410.17013arXiv1509.04736OpenAlexW2962801940WikidataQ59474167 ScholiaQ59474167MaRDI QIDQ345232

Tao Lü, Vladimir V. Bavula

Publication date: 1 December 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04736

zbMATH Keywords

maximal idealprime idealsimple modulequantum algebraprimitive idealalgebra automorphismtorsion module

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Representation theory of associative rings and algebras (16G99) Localization and associative Noetherian rings (16P50)

Related Items (13)

On prime and primitive ideals of the centrally extended Heisenberg double of SL₂ ⋮ Simple modules over Kq[X,Y⋊Uq≥0(sl2) and Kq[X,Y]⋊Uq(sl2) at root of unity] ⋮ The quantum Euclidean algebra and its prime spectrum ⋮ Classifications of prime ideals and simple modules of the Weyl algebra \(A_1\) in prime characteristic ⋮ Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules ⋮ The prime spectrum of the algebra \(\mathbb{K}_q[X,Y \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules] ⋮ THE PRIME IDEALS AND SIMPLE MODULES OF THE UNIVERSAL ENVELOPING ALGEBRA U(𝔟⋉V₂) ⋮ The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl2) ⋮ Torsion simple modules over the quantum spatial ageing algebra ⋮ The prime ideals and simple weight modules of the algebra 𝑈(𝔟⋉𝔙₃) ⋮ On representations of the centrally extended Heisenberg double of SL2 ⋮ Unnamed Item ⋮ Unnamed Item

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