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Bi-invariant differential operators on the Galilean group (1410.0635v2)
Published 2 Oct 2014 in math.DG
Abstract: The Galilean group is the group of symmetries of Newtonian mechanics, with Lie a lgebra $\gal(n)$. We find algebraically independent generators for the center of the universal enveloping algebra of $\gal(n)$ using coadjoint orbits.