Conformal Galilei groups, Veronese curves and Newton–Hooke spacetimes
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Publication:3091846
DOI10.1088/1751-8113/44/33/335203zbMATH Open1223.70060arXiv1104.1502OpenAlexW3104091761MaRDI QIDQ3091846
Author name not available (Why is that?)
Publication date: 14 September 2011
Published in: (Search for Journal in Brave)
Abstract: Finite-dimensional nonrelativistic conformal Lie algebras spanned by polynomial vector fields of Galilei spacetime arise if the dynamical exponent is z=2/N with N=1,2,.... Their underlying group structure and matrix representation are constructed (up to a covering) by means of the Veronese map of degree N. Suitable quotients of the conformal Galilei groups provide us with Newton-Hooke nonrelativistic spacetimes with a quantized reduced negative cosmological constant lambda=-N.
Full work available at URL: https://arxiv.org/abs/1104.1502
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