Poisson-Lie structures on Poincaré and Euclidean groups in three dimensions
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Publication:4703716
DOI10.1088/0305-4470/31/19/018zbMath0966.53054OpenAlexW2084822587WikidataQ115293494 ScholiaQ115293494MaRDI QIDQ4703716
Publication date: 30 November 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/31/19/018
Related Items (15)
Quantum deformations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \(\mathfrak{o}^\star(4)\) symmetries in unified \(\mathfrak{o}(4; \mathbb{C})\) setting ⋮ Classical r -matrices for the generalised Chern–Simons formulation of 3d gravity ⋮ Physical constraints on quantum deformations of spacetime symmetries ⋮ Maximally extended $\boldsymbol {\mathfrak{sl}(2\vert 2)}$ , q-deformed $\boldsymbol{\mathfrak{d}{(2, 1;\epsilon)}}$ and 3D kappa-Poincaré ⋮ Basic quantizations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \( {\mathfrak{o}}^{\star}(4) \) symmetries ⋮ Gauge fixing and classical dynamical \(r\)-matrices in \(\mathrm{ISO}(2, 1)\)-Chern-Simons theory ⋮ Geometrical \((2+1)\)-gravity and the Chern-Simons formulation: grafting, Dehn twists, Wilson loop observables and the cosmological constant ⋮ Classical r-matrices via semidualisation ⋮ Quantum d = 3 Euclidean and Poincaré symmetries from contraction limits ⋮ The Poincaré group as a Drinfel’d double ⋮ Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups ⋮ 3-dimensional \(\Lambda\)-BMS symmetry and its deformations ⋮ On the semiduals of local isometry groups in three-dimensional gravity ⋮ Yang-Baxter deformations of the flat space string ⋮ Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
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