Primitive Lie Algebras of Rational Vector Fields
Journal of Lie theory, Tome 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).
Classification :
16W25, 17B66, 32M25
Mots-clés : Lie algebras of vector fields
Mots-clés : Lie algebras of vector fields
@article{JLT_2022_32_4_JLT_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},
url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_4_JLT_2022_32_4_a10/}
}
TY - JOUR AU - G. Casale AU - F. Loray AU - J. V. Pereira AU - F. Touzet TI - Primitive Lie Algebras of Rational Vector Fields JO - Journal of Lie theory PY - 2022 SP - 1125 EP - 1138 VL - 32 IS - 4 UR - http://geodesic.mathdoc.fr/item/JLT_2022_32_4_JLT_2022_32_4_a10/ ID - JLT_2022_32_4_JLT_2022_32_4_a10 ER -
G. Casale; F. Loray; J. V. Pereira; F. 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/JLT_2022_32_4_JLT_2022_32_4_a10/