[Tout homomorphisme injectif de lʼalgèbre de Lie des dérivations triangulaires polynomiales est un automorphisme]
We prove that every monomorphism of the Lie algebra
Nous montrons que tout homomorphisme injectif de lʼalgèbre de Lie
Accepté le :
Publié le :
Vladimir V. Bavula 1
@article{CRMATH_2012__350_11-12_553_0,
author = {Vladimir V. Bavula},
title = {Every monomorphism of the {Lie} algebra of triangular polynomial derivations is an automorphism},
journal = {Comptes Rendus. Math\'ematique},
pages = {553--556},
publisher = {Elsevier},
volume = {350},
number = {11-12},
year = {2012},
doi = {10.1016/j.crma.2012.06.001},
language = {en},
}
TY - JOUR AU - Vladimir V. Bavula TI - Every monomorphism of the Lie algebra of triangular polynomial derivations is an automorphism JO - Comptes Rendus. Mathématique PY - 2012 SP - 553 EP - 556 VL - 350 IS - 11-12 PB - Elsevier DO - 10.1016/j.crma.2012.06.001 LA - en ID - CRMATH_2012__350_11-12_553_0 ER -
Vladimir V. Bavula. Every monomorphism of the Lie algebra of triangular polynomial derivations is an automorphism. Comptes Rendus. Mathématique, Volume 350 (2012) no. 11-12, pp. 553-556. doi : 10.1016/j.crma.2012.06.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.06.001/
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- The group of automorphisms of the Lie algebra of derivations of a field of rational functions, Glasgow Mathematical Journal, Volume 59 (2017) no. 3, pp. 513-524 | DOI:10.1017/s0017089516000306 | Zbl:1425.17002
- The groups of automorphisms of the Witt
- The Jacobian conjecture, together with Specht and Burnside-type problems, Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, October 29 – November 3, 2012, Cham: Springer, 2014, pp. 249-285 | DOI:10.1007/978-3-319-05681-4_15 | Zbl:1327.14256
- The groups of automorphisms of the Lie algebras of triangular polynomial derivations, Journal of Pure and Applied Algebra, Volume 218 (2014) no. 5, pp. 829-851 | DOI:10.1016/j.jpaa.2013.10.004 | Zbl:1281.17019
- Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras, Izvestiya: Mathematics, Volume 77 (2013) no. 6, p. 1067 | DOI:10.1070/im2013v077n06abeh002670
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