scientific article; zbMATH DE number 6872041

zbMath1396.17011MaRDI QIDQ4642637

Tao Lü, Vladimir V. Bavula

Publication date: 23 May 2018

Full work available at URL: http://www.heldermann.de/JLT/JLT28/JLT282/jlt28023.htm#jlt281

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zbMATH Keywords

centralizerprime idealsimple moduleweight moduleprimitive ideal

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)

Related Items (19)

On prime and primitive ideals of the centrally extended Heisenberg double of SL₂ ⋮ Derivations and biderivations of the n-th Schrödinger algebra ⋮ Simple modules over Kq[X,Y⋊Uq≥0(sl2) and Kq[X,Y]⋊Uq(sl2) at root of unity] ⋮ Irreducible weight modules over the Schrödinger Lie algebra in \((n+1)\) dimensional space-time ⋮ Electrical Lie algebras, the Schrödinger algebras and their representations ⋮ Quasi-Whittaker modules for the \(n\)-th Schrödinger algebra ⋮ Zero product determined \(n\)-th Schrödinger algebra ⋮ Module structures on \(U(S^-)\) for the Schrödinger algebra ⋮ U (h)-free modules on n -th Schrödinger algebra ⋮ Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules ⋮ Whittaker modules and quasi-Whittaker modules for the Schrödinger algebra in \((2 + 1)\)-dimensional spacetime ⋮ 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 spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl2) ⋮ Simple singular Whittaker modules over the Schrödinger algebra ⋮ On simple modules of the \(n\)-th Schrödinger algebra ⋮ Classification of simple modules of the Ore extension \(K[X[Y; f\frac{d}{dX}]\)] ⋮ On representations of the centrally extended Heisenberg double of SL2 ⋮ Unnamed Item ⋮ BGG CATEGORY FOR THE QUANTUM SCHRÖDINGER ALGEBRA

Cites Work

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• The prime spectrum and simple modules over the quantum spatial ageing algebra
• Category \(\mathcal{O}\) for the Schrödinger algebra
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras
• Description of two-sided ideals in a class of noncommutative rings. II
• Classification of simple weight modules over the 1-spatial ageing algebra
• The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol
• Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra
• On simple modules over conformal Galilei algebras
• The simple modules of the ore extensions with coefficients from a dedekind ring
• Center and Representations of Infinitesimal Hecke Algebras of 𝔰𝔩₂

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