Article contents
Irreducible finitary Lie algebras over fields of positive characteristic
Published online by Cambridge University Press: 01 July 2000
Abstract
A Lie subalgebra L of [gfr ][lfr ][ ](V) is said to be finitary if it consists of elements of finite rank. We study the situation when L acts irreducibly on the infinite-dimensional vector space V and show: if Char [ ] > 7, then L has a unique minimal ideal I. Moreover I is simple and L/I is solvable.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 1 , July 2000 , pp. 1 - 8
- Copyright
- 2000 Cambridge Philosophical Society
- 2
- Cited by