Automorphism Groups of Some Stable Lie Algebras
Journal of Lie theory, Tome 21 (2011) no. 2, pp. 457-468
Cet article a éte moissonné depuis la source Heldermann Verlag
A degree stable Lie algebra is defined in the paper of K-Bong Nam, and Seul Hee Choi [Degree Stable Lie Algebras I, Algebra Colloquium 13 (2006) 487--494]. The automorphism group AutLie(S+(2)) of the Lie algebra S+(2) and the automorphism group of the Lie algebra W(1,0,2) are also found in this paper. We find the algebra automorphism groups of the Lie algebras W(12,1,1) and W(12,2,0) in this work. We show that the Cartan subalgebras of W(12,1,1) and W(12,2,0) are one dimensional.
Classification :
17A36
Mots-clés : Simple, Witt algebra, degreeing Lie algebra, Cartan subalgebra
Mots-clés : Simple, Witt algebra, degreeing Lie algebra, Cartan subalgebra
@article{JLT_2011_21_2_JLT_2011_21_2_a8,
author = {J. Lee and X. Chen and S. H. Choi and K.-B. Nam },
title = {Automorphism {Groups} of {Some} {Stable} {Lie} {Algebras}},
journal = {Journal of Lie theory},
pages = {457--468},
year = {2011},
volume = {21},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_2_JLT_2011_21_2_a8/}
}
J. Lee; X. Chen; S. H. Choi; K.-B. Nam . Automorphism Groups of Some Stable Lie Algebras. Journal of Lie theory, Tome 21 (2011) no. 2, pp. 457-468. http://geodesic.mathdoc.fr/item/JLT_2011_21_2_JLT_2011_21_2_a8/