scientific article; zbMATH DE number 7050460

zbMath1472.17023MaRDI QIDQ4633510

Tao Lü, Vladimir V. Bavula

Publication date: 3 May 2019

Full work available at URL: https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/universal-enveloping-algebra-of-the-schrodinger-algebra-and-its-prime-spectrum/98F2A260E1F37041E14625194C9FEF65

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zbMATH Keywords

centralizerprime idealsimple moduleweight moduleWhittaker module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Localization and associative Noetherian rings (16P50)

Related Items (10)

2-Local derivations on Schrödinger algebra in (2 + 1)- dimensional space-time ⋮ On prime and primitive ideals of the centrally extended Heisenberg double of SL₂ ⋮ Irreducible weight modules over the Schrödinger Lie algebra in \((n+1)\) dimensional space-time ⋮ Electrical Lie algebras, the Schrödinger algebras and their representations ⋮ 2-local derivations on the Schrödinger algebra ⋮ The derivation algebra and automorphism group of the n -th Schrödinger algebra ⋮ Unnamed Item ⋮ The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl2) ⋮ On simple modules of the \(n\)-th Schrödinger algebra ⋮ BGG CATEGORY FOR THE QUANTUM SCHRÖDINGER ALGEBRA

Cites Work

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• Simple Schrödinger modules which are locally finite over the positive part
• Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra
• The simple modules of the ore extensions with coefficients from a dedekind ring
• Classification of Simple Weight Modules over the Schrödinger Algebra
• Finite dimensional indecomposable modules for Schrödinger algebra

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