
Journal of Lie Theory 28 (2018), No. 4, 969985 Copyright Heldermann Verlag 2018 A Note on the Construction of SecondOrder Conformally Invariant Systems on Generalized Flag Manifolds Anthony C. Kable Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, U.S.A. akable@math.okstate.edu An automatic conformal invariance result is proved for systems of secondorder differential operators on generalized flag manifolds. The result states that a purely algebraic datum (analogous to the symbol of a differential operator) that has the correct shape to have arisen from a conformally invariant system of secondorder operators on a homogeneous line bundle does, in fact, arise from such a system on a suitable bundle. Keywords: Graded Lie algebra, generalized Verma module. MSC: 17B10; 22E47, 35R03 [ Fulltextpdf (149 KB)] for subscribers only. 