The Poincaré group as a Drinfel’d double
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Publication:3383567
DOI10.1088/1361-6382/aaf3c2zbMath1475.83102arXiv1809.09207OpenAlexW2893197577MaRDI QIDQ3383567
Francisco J. Herranz, Ivan Gutierrez-Sagredo, Ángel Ballesteros
Publication date: 24 September 2021
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.09207
cosmological constantPoincaré groupLie bialgebranoncommutative spacetimeDrinfel'd double(2 + 1)-gravity
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Structure and representation of the Lorentz group (22E43) Modular forms associated to Drinfel'd modules (11F52) Analogues of general relativity in lower dimensions (83C80) Methods of noncommutative geometry in general relativity (83C65) Lie bialgebras; Lie coalgebras (17B62) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
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The noncommutative space of light-like worldlines ⋮ Quantum d = 3 Euclidean and Poincaré symmetries from contraction limits ⋮ Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups
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