Classification of simple weight modules over the 1-spatial ageing algebra

DOI10.1007/s10468-014-9499-2zbMath1394.17019arXiv1403.5691OpenAlexW2011398801MaRDI QIDQ2348550

Rencai Lü, Kaiming Zhao, Volodymyr Mazorchuk

Publication date: 15 June 2015

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

Full work available at URL: https://arxiv.org/abs/1403.5691

zbMATH Keywords

weight modulehighest weight moduleSchrödinger algebraageing algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Solvable, nilpotent (super)algebras (17B30)

Related Items (11)

Simple modules over Kq[X,Y⋊Uq≥0(sl2) and Kq[X,Y]⋊Uq(sl2) at root of unity] ⋮ The prime spectrum and simple modules over the quantum spatial ageing algebra ⋮ Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras ⋮ THE PRIME IDEALS AND SIMPLE MODULES OF THE UNIVERSAL ENVELOPING ALGEBRA U(𝔟⋉V₂) ⋮ Irreducible representations over the diamond Lie algebra ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Simple singular Whittaker modules over the Schrödinger algebra ⋮ Torsion simple modules over the quantum spatial ageing algebra ⋮ Simple modules over the Lie algebras of divergence zero vector fields on a torus ⋮ On representations of the centrally extended Heisenberg double of SL2 ⋮ Unnamed Item

Cites Work

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• Category \(\mathcal{O}\) for the Schrödinger algebra
• On non-local representations of the ageing algebra
• Phenomenology of local scale invariance: From conformal invariance to dynamical scaling
• Local scale-invariance and ageing in noisy systems
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Schrödinger invariance and spacetime symmetries
• Schrödinger invariance and strongly anisotropic critical systems
• Simple weight modules for Schrödinger algebra
• The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
• Dynamical realization of l-conformal Galilei algebra and oscillators
• Classification of irreducible weight modules
• Generalized oscillator representations of the twisted Heisenberg-Virasoro 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
• Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings
• On irreducible representations of the exotic conformal Galilei algebra
• On the identification of quasiprimary scaling operators in local scale-invariance
• Conformal extensions of the Galilei group and their relation to the Schrödinger group
• Growth laws for phase ordering
• Nonrelativistic conformal groups
• Aq-Schrödinger algebra, its lowest-weight representations and generalizedq-deformed heat/Schrödinger equations
• HIGHEST WEIGHT REPRESENTATIONS AND KAC DETERMINANTS FOR A CLASS OF CONFORMAL GALILEI ALGEBRAS WITH CENTRAL EXTENSION
• Physical Ageing and New Representations of Some Lie Algebras of Local Scale-Invariance

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