Journal of Lie Theory

no. 4
Primitive Lie Algebras of Rational Vector Fields
Journal of Lie Theory, Volume 32 (2022) no. 4, pp. 1125-1138
Let g be a transitive, finite-dimensional Lie algebra of rational vector fields on a projective manifold. If g is primitive, i.e., does not locally preserve any foliation, then it determines a rational map to an algebraic homogenous space G/H which maps g to Lie(G).
DOI: 10.5802/jolt.1268
Classification: 16W25, 17B66, 32M25
Keywords: Lie algebras of vector fields 
@article{JOLT_2022_32_4_a10,
     author = {G. Casale and F. Loray and J. V. Pereira and F. Touzet},
     title = {Primitive {Lie} {Algebras} of {Rational} {Vector} {Fields}},
     journal = {Journal of Lie Theory},
     pages = {1125--1138},
     year = {2022},
     volume = {32},
     number = {4},
     doi = {10.5802/jolt.1268},
     zbl = {1521.17047},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1268/}
}
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G. Casale; F. Loray; J. V. Pereira; F. Touzet. Primitive Lie Algebras of Rational Vector Fields. Journal of Lie Theory, Volume 32 (2022) no. 4, pp. 1125-1138. doi: 10.5802/jolt.1268

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