  The Schwarzian derivative has recently received renewed attention in
connection with the study of the Sachdev-Ye-Kitaev model. In mathematics
literature, various higher order generalizations of the Schwarzian derivative
are known due to Aharonov, Bertilsson, and Schippers. Physical applications of
the higher Schwarzian derivatives have not yet been discussed in any detail. In
this work, we link Bertilsson's variant to the l-conformal Galilei group, as
well as discuss some of its interesting peculiarities. These include a
recurrence relation, which allows one to construct the higher Schwarzians
iteratively, a composition law, and symmetry transformations.
