# Constellations and projective classical groups

@article{Bacry1980ConstellationsAP, title={Constellations and projective classical groups}, author={Henri Bacry}, journal={Communications in Mathematical Physics}, year={1980}, volume={72}, pages={119-130} }

- Published 1980
DOI:10.1007/bf01197631

The constellation concept is recalled (geometrical description of a ray in a vector space). The groups PO(n+1, ℂ) orP Sp(n+1, ℂ) are shown to preserve “harmonic conjugation” between two constellations. The action of the Lorentz subgroup and its rotation subgroup is described. Finally, a theorem concerning Clebsch-Gordan product of constellations is proved.