RT Journal Article
T1 Explicit formulas for the 3-jet lift of a matrix group. Applications to conformal geometry
A1 Aguirre Dabán, Eduardo
A1 Sánchez Rodríguez, Ignacio
A2 Pereira do Vale, A.
A2 Rosario Pinto, Maria
AB 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
PB Centro de Matematica da Universidade do Minho
YR 1998
FD 1998
LK https://hdl.handle.net/20.500.14352/58335
UL https://hdl.handle.net/20.500.14352/58335
LA eng
DS Docta Complutense
RD 8 abr 2025