The symmetries of the general Euler equations of fluid dynamics with
polytropic exponent are determined using the Kaluza-Klein type framework of
Duval et al. In the standard polytropic case the recent results of
O'Raifeartaigh and Sreedhar are confirmed and generalized. Similar results are
proved for polytropic exponent γ=−1, which corresponds to the
dimensional reduction of d-branes. The relation between the duality
transformation used in describing supernova explosion and Cosmology is
explained.Comment: 10 pages, LaTex, no figures. Revised version: A new proof of the
Schrodinger symmetry and two more references added. To appear in Phys. Lett.