Geodesic
Primitive Lie Algebras of Rational Vector Fields
Guy Casale1 ; Frank Loray1 ; Jorge Vitório Pereira2 ; Frédéric Touzet1
1Université de Rennes, CNRS, IRMAR - UMR 6625, 35000 Rennes, France
2IMPA, Rio de Janeiro, Brasil
Journal of Lie Theory, Tome 32 (2022) no. 4, pp. 1125-1138

Voir la notice de l'article provenant de la source Heldermann Verlag

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).
Classification : 16W25, 17B66, 32M25
Mots-clés : Lie algebras of vector fields

Guy Casale  1   ; Frank Loray  1   ; Jorge Vitório Pereira  2   ; Frédéric Touzet  1

1 Université de Rennes, CNRS, IRMAR - UMR 6625, 35000 Rennes, France
2 IMPA, Rio de Janeiro, Brasil 
Guy Casale; Frank Loray; Jorge Vitório Pereira; Frédéric Touzet. Primitive Lie Algebras of Rational Vector Fields. Journal of Lie Theory, Tome 32 (2022) no. 4, pp. 1125-1138. http://geodesic.mathdoc.fr/item/JOLT_2022_32_4_a10/
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     author = {Guy Casale and Frank Loray and Jorge Vit\'orio Pereira and Fr\'ed\'eric Touzet},
     title = {Primitive {Lie} {Algebras} of {Rational} {Vector} {Fields}},
     journal = {Journal of Lie Theory},
     pages = {1125--1138},
     year = {2022},
     volume = {32},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2022_32_4_a10/}
}
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