scientific article; zbMATH DE number 816133
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Publication:4854311
zbMath0879.16027MaRDI QIDQ4854311
Publication date: 30 November 1997
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deformationsmoduli spaces\(q\)-differential operator realizationsJordanian quantum planesquantum Borel Hopf algebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Deformations of associative rings (16S80)
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Integrable deformations of sigma models ⋮ Remarks on simple interpolation between Jordanian twists ⋮ Maximally extended $\boldsymbol {\mathfrak{sl}(2\vert 2)}$ , q-deformed $\boldsymbol{\mathfrak{d}{(2, 1;\epsilon)}}$ and 3D kappa-Poincaré ⋮ Modular quantizations of Lie algebras of Cartan type \(K\) via Drinfeld twists of Jordanian type ⋮ Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\) ⋮ The q-linked complex Minkowski space, its real forms and deformed isometry groups ⋮ Quantization of subgroups of the affine group ⋮ Twists and quantizations of Cartan type \(S\) Lie algebras ⋮ One parameter family of Jordanian twists ⋮ Twisted submanifolds of \(\mathbb{R}^n\) ⋮ Lie super-bialgebra and quantization of the super Virasoro algebra ⋮ Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups ⋮ Quantum duality in quantum deformations ⋮ Interpolations between Jordanian twists induced by coboundary twists ⋮ Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation ⋮ Snyder noncommutativity and pseudo-Hermitian Hamiltonians from a Jordanian twist ⋮ Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term ⋮ Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra
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