Article contents
Automorphisms of the Lie Algebras W* in Characteristic 0
Published online by Cambridge University Press: 20 November 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
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*.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1997
References
1.
Block, R., On torsion-free abelian groups and Lie algebras, Proc. Amer.Math. Soc.
9(1958), 613–620.Google Scholar
2.
Osborn, J.M., New simple infinite dimensional Lie algebras of characteristic
0, J. Algebra
185(1996), 820–835.Google Scholar
3.
Osborn, J.M., Derivations and isomorphisms of Lie algebras of characteristic0, to appear in the proceedings of the Block conference.Google Scholar
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.
Wilson, R.L., Automorphisms of graded Lie algebras of Cartan type, Comm. in Algebra.
3(1975), 591–613.Google Scholar
You have
Access
- 7
- Cited by