Journal of Lie Theory

no. 4
A Note on the Construction of Second-Order Conformally Invariant Systems on Generalized Flag Manifolds
Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 969-985
An automatic conformal invariance result is proved for systems of second-order 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 second-order operators on a homogeneous line bundle does, in fact, arise from such a system on a suitable bundle.
DOI: 10.5802/jolt.1036
Classification: 17B10, 22E47, 35R03
Keywords: Graded Lie algebra, generalized Verma module 
@article{JOLT_2018_28_4_a4,
     author = {A. C. Kable},
     title = {A {Note} on the {Construction} of {Second-Order} {Conformally} {Invariant} {Systems} on {Generalized} {Flag} {Manifolds}},
     journal = {Journal of Lie Theory},
     pages = {969--985},
     year = {2018},
     volume = {28},
     number = {4},
     doi = {10.5802/jolt.1036},
     zbl = {1440.17004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1036/}
}
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A. C. Kable. A Note on the Construction of Second-Order Conformally Invariant Systems on Generalized Flag Manifolds. Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 969-985. doi: 10.5802/jolt.1036

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