Automorphisms of the Lie Algebras W * in Characteristic 0
Canadian journal of mathematics, Tome 49 (1997) no. 1, pp. 119-132

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent paper [2] we defined four classes of infinite dimensional simple Lie algebras over a field of characteristic 0 which we called W*, S*, H*, and K*. As the names suggest, these classes generalize the Lie algebras of Cartan type. A second paper [3] investigates the derivations of the algebras W* and S*, and the possible isomorphisms between these algebras and the algebras defined by Block [1]. In the present paper we investigate the automorphisms of the algebras of type W*.
DOI : 10.4153/CJM-1997-006-5
Mots-clés : 17B40, 17B65, 17B66, 17B68, 17B70
Osborn, J. Marshall. Automorphisms of the Lie Algebras W * in Characteristic 0. Canadian journal of mathematics, Tome 49 (1997) no. 1, pp. 119-132. doi: 10.4153/CJM-1997-006-5
@article{10_4153_CJM_1997_006_5,
     author = {Osborn, J. Marshall},
     title = {Automorphisms of the {Lie} {Algebras} {W} * in {Characteristic} 0},
     journal = {Canadian journal of mathematics},
     pages = {119--132},
     year = {1997},
     volume = {49},
     number = {1},
     doi = {10.4153/CJM-1997-006-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-006-5/}
}
TY  - JOUR
AU  - Osborn, J. Marshall
TI  - Automorphisms of the Lie Algebras W * in Characteristic 0
JO  - Canadian journal of mathematics
PY  - 1997
SP  - 119
EP  - 132
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-006-5/
DO  - 10.4153/CJM-1997-006-5
ID  - 10_4153_CJM_1997_006_5
ER  - 
%0 Journal Article
%A Osborn, J. Marshall
%T Automorphisms of the Lie Algebras W * in Characteristic 0
%J Canadian journal of mathematics
%D 1997
%P 119-132
%V 49
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-006-5/
%R 10.4153/CJM-1997-006-5
%F 10_4153_CJM_1997_006_5

[1] 1. Block, R., On torsion-free abelian groups and Lie algebras, Proc. Amer.Math. Soc. 9(1958), 613–620. Google Scholar

[2] 2. Osborn, J.M., New simple infinite dimensional Lie algebras of characteristic 0, J. Algebra 185(1996), 820–835. Google Scholar

[3] 3. Osborn, J.M., Derivations and isomorphisms of Lie algebras of characteristic0, to appear in the proceedings of the Block conference. Google Scholar

[4] 4. Rudakov, A.N., Groups of automorphisms of infinite-dimensional simple Lie algebras, Izv. Akad. Nauk. SSSR Ser.Mat. 33(1969), 748–764; English transl., Math USSR-Izv. 3(1969), 707–722. Google Scholar

[5] 5. Wilson, R.L., Automorphisms of graded Lie algebras of Cartan type, Comm. in Algebra. 3(1975), 591–613. Google Scholar

Cité par Sources :