Kinematical lie algebras in 2 + 1 dimensions

DOI10.1063/1.5025785zbMath1401.17016arXiv1802.04048OpenAlexW3102719845MaRDI QIDQ4575945

Tomasz Andrzejewski, José M. Figueroa-O'Farrill

Publication date: 16 July 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04048

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (13)

Lie algebraic Carroll/Galilei duality ⋮ Kinematical Lie algebras via deformation theory ⋮ Higher-dimensional kinematical Lie algebras via deformation theory ⋮ Non-lorentzian spacetimes ⋮ Possible ambient kinematics ⋮ On rigidity of 3d asymptotic symmetry algebras ⋮ On Casimir operators of conformal Galilei algebras ⋮ Conformal Lie algebras via deformation theory ⋮ Embedding Galilean and Carrollian geometries. I. Gravitational waves ⋮ Spatially isotropic homogeneous spacetimes ⋮ Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes ⋮ The Poincaré group as a Drinfel’d double ⋮ Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension

Cites Work

• Unnamed Item
• Cohomology of Lie algebras
• Deformations of the Galilean algebra
• Classification of ten-dimensional kinematical groups with space isotropy
• Kinematical Lie algebras via deformation theory
• Higher-dimensional kinematical Lie algebras via deformation theory
• Possible Kinematics
• Cohomology Theory of Lie Groups and Lie Algebras

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