Year: 2011
Type: article
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 λ = − N .
Authors: C Duval, P A Horváthy
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Chinese Academy of Sciences
OpenAlex ID: W2011197779