Timeline for Is there an analog of Clifford Theorem in the setting of Lie algebras?

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Jun 24, 2011 at 18:29	comment	added	Victor Protsak		The issue is not the finite-dimensionality of simple modules. Rather, it is the existence of a simple submodule of a given module. For instance, if $\mathfrak{g}$ is a Lie algebra of a positive dimension over a field, the universal enveloping algebra $U(\mathfrak{g})$ is a noncommutative domain and hence has no minimal left or right ideals.
Jun 24, 2011 at 14:06	comment	added	user15982		Dear Victor, your argument sounds OK: thank you. What about the modular case? At this purpose, I remember that all simple modules of a finite-dimensional Lie algebra over a field of positive characteristic are finite-dimensional (by a theorem of Jacobson).
Jun 24, 2011 at 5:58	history	answered	Victor Protsak	CC BY-SA 3.0