Geodesic
Automorphisms of the Lie algebra of vector fields on affine $n$-space
Journal of the European Mathematical Society, Tome 19 (2017) no. 5, pp. 1577-1588 Cet article a éte moissonné depuis la source EMS Press

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We study the vector fields Vec(An) on affine n-space An, the subspace Vecc(An) of vector fields with constant divergence, and the subspace Vec0(An) of vector fields with divergence zero, and we show that their automorphisms, as Lie algebras, are induced by the automorphisms of An:
DOI : 10.4171/jems/700
Classification : 17-XX, 22-XX
Keywords: Automorphisms, vector fields, Lie algebras, affine n-space 
@article{JEMS_2017_19_5_a7,
     author = {Hanspeter Kraft and Andriy Regeta},
     title = {Automorphisms of the {Lie} algebra of vector fields on affine $n$-space},
     journal = {Journal of the European Mathematical Society},
     pages = {1577--1588},
     year = {2017},
     volume = {19},
     number = {5},
     doi = {10.4171/jems/700},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/700/}
}
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Hanspeter Kraft; Andriy Regeta. Automorphisms of the Lie algebra of vector fields on affine $n$-space. Journal of the European Mathematical Society, Tome 19 (2017) no. 5, pp. 1577-1588. doi: 10.4171/jems/700

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