6533b82cfe1ef96bd128fe14
RESEARCH PRODUCT
Irreducible finitary Lie algebras over fields of positive characteristic
Orazio PuglisiFelix Leinensubject
Discrete mathematicsAdjoint representation of a Lie algebraPure mathematicsRepresentation of a Lie groupGeneral MathematicsSimple Lie groupSubalgebraLie algebraAdjoint representationFundamental representationFinitaryMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-07-01 | Mathematical Proceedings of the Cambridge Philosophical Society |