Quantum deformations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \(\mathfrak{o}^\star(4)\) symmetries in unified \(\mathfrak{o}(4; \mathbb{C})\) setting

DOI10.1016/j.physletb.2016.01.016zbMath1366.17013arXiv1511.03653OpenAlexW2237808686WikidataQ62579619 ScholiaQ62579619MaRDI QIDQ2362718

Valeriy N. Tolstoy, Andrzej Zdzisław Borowiec, Jerzy Lukierski

Publication date: 11 July 2017

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03653

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (12)

AdS Poisson homogeneous spaces and Drinfel’d doubles ⋮ Basic quantizations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \( {\mathfrak{o}}^{\star}(4) \) symmetries ⋮ Noncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (anti-)de Sitter groups ⋮ \(\kappa\)-deformed BMS symmetry ⋮ Quantum d = 3 Euclidean and Poincaré symmetries from contraction limits ⋮ Quantum Klein space and superspace ⋮ The Poincaré group as a Drinfel’d double ⋮ Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups ⋮ Noncommutative spaces of worldlines ⋮ 3-dimensional \(\Lambda\)-BMS symmetry and its deformations ⋮ Fuzzy worldlines with \(\kappa\)-Poincaré symmetries ⋮ Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces

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