Margulescu, George Some representations of affine conformal transformations of Minkowski space. (English) Zbl 0927.51008 Balkan J. Geom. Appl. 2, No. 2, 91-97 (1997). Author’s abstract: “We consider the groups \(G_1\), \(G_2\), \(G_3\) that are different from affine conformal group just because the spacelike or (and) timelike symmetries are accompanied by the inversion \(I_0\) (charge conjugation operation). For these groups there exist some fundamental spin representations (spin \(s={1\over 2}\)) given by (14) (see the paper); the representation of the subgroup formed from the proper Lorentz group, the homotheties and the considered symmetries, for different couples \(\lambda\), \(\mu\) such that \(\mu^2-\lambda^2= 1\), are equivalent”. Reviewer: P.Kosiński (Łódź) MSC: 51B20 Minkowski geometries in nonlinear incidence geometry 22E43 Structure and representation of the Lorentz group 53A30 Conformal differential geometry (MSC2010) 22E70 Applications of Lie groups to the sciences; explicit representations 53B50 Applications of local differential geometry to the sciences Keywords:conformal group; spin representations; conformal spinors PDFBibTeX XMLCite \textit{G. Margulescu}, Balkan J. Geom. Appl. 2, No. 2, 91--97 (1997; Zbl 0927.51008) Full Text: EuDML EMIS