Representations of extended Carroll group

DOI10.1007/S00006-021-01146-3zbMath1503.22021arXiv2104.12535OpenAlexW3171814326MaRDI QIDQ2047632

G. X. A. Petronilo, Ademir E. Santana, Sérgio C. Ulhoa

Publication date: 20 August 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12535

zbMATH Keywords

Galilean covarianceCarroll groupCarroll covarianceCarroll representations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of global differential geometry to the sciences (53C80)

Related Items (1)

Planar Carrollean dynamics, and the Carroll quantum equation

Cites Work

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• Spinors in non-relativistic Chern-Simons electrodynamics
• Poincaré gauge theory and Galilean covariance
• Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
• Nonrelativistic particles and wave equations
• Revisiting non-relativistic limits
• Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids
• Carroll symmetry of plane gravitational waves
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Possible Kinematics
• Galilei Group and Nonrelativistic Quantum Mechanics
• On the Contraction of Groups and Their Representations

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