Geodesic
Automorphism Groups of Some Stable Lie Algebras
Jongwoo Lee1 ; Xueqing Chen2 ; Seul Hee Choi3 ; Ki-Bong Nam2
1Graduate School of Railroad, National University of Technology, 172 Kongneung-dong Nowongu, Seoul, Korea
2Dept. of Mathematics and Computer Sciences, Univ. of Wisconsin, Whitewater, WI 53190, U.S.A.
3Dept. of Mathematics, University of Jeonju, Jeonju 560-759, Korea
Journal of Lie Theory, Tome 21 (2011) no. 2, pp. 457-468

Voir la notice de l'article provenant de 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

Jongwoo Lee  1   ; Xueqing Chen  2   ; Seul Hee Choi  3   ; Ki-Bong Nam  2

1 Graduate School of Railroad, National University of Technology, 172 Kongneung-dong Nowongu, Seoul, Korea
2 Dept. of Mathematics and Computer Sciences, Univ. of Wisconsin, Whitewater, WI 53190, U.S.A.
3 Dept. of Mathematics, University of Jeonju, Jeonju 560-759, Korea 
Jongwoo Lee; Xueqing Chen; Seul Hee Choi; Ki-Bong 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/JOLT_2011_21_2_a8/
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     journal = {Journal of Lie Theory},
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