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Automorphisms of the Lie Algebras W* in Characteristic 0

Published online by Cambridge University Press:  20 November 2018

J. Marshall Osborn
J. Marshall Osborn*
Affiliation:
University of Wisconsin, Madison, WI, USA 53706 e-mail: osborn@math.wisc.edu
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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*.

Keywords

17B4017B6517B6617B6817B70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 1 , 01 February 1997 , pp. 119 - 132
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