%0 Journal Article
%A Aguirre Dabán, Eduardo
%A Sánchez Rodríguez, Ignacio
%T Explicit formulas for the 3-jet lift of a matrix group. Applications to conformal geometry
%D 1998
%U https://hdl.handle.net/20.500.14352/58335
%X Jet lifts of groups of matrices enter into play when one studies the problem of integrability of G-structures as it was posed by V. Guillemin in his seminal work [Trans. Amer. Math. Soc. 116 (1965), 544–560;]. The authors of the present paper analyze carefully the case of 3-jet lifts. Their first result is that G3 is isomorphic to a semidirect product of G itself and a nilpotent group constructed from the first two prolongations of its Lie algebra. This result permits them to discuss several natural representations of G3 . An application to the case of the conformal group is given
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