Journal of Lie Theory

no. 2
Automorphism Groups of Some Stable Lie Algebras
Journal of Lie Theory, Volume 21 (2011) no. 2, pp. 457-468
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.
DOI: 10.5802/jolt.639
Classification: 17A36
Keywords: Simple, Witt algebra, degreeing Lie algebra, Cartan subalgebra 
@article{JOLT_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},
     doi = {10.5802/jolt.639},
     zbl = {1253.17010},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.639/}
}
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J. Lee; X. Chen; S. H. Choi; K.-B. Nam. Automorphism Groups of Some Stable Lie Algebras. Journal of Lie Theory, Volume 21 (2011) no. 2, pp. 457-468. doi: 10.5802/jolt.639

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