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math.RA2010
On the stability of weight spaces of enveloping algebra in prime characteristic
Gil Vernik
By the result of Dixmier, any weight space of enveloping algebra of Lie algebra L over a field of characteristic 0 is adL stable. In this paper we will show that this result need n…
math.RA2010
Algebraic families of subfields in division rings
J. M. Bois, G. Vernik
We describe relations between maximal subfields in a division ring and in its rational extensions. More precisely, we prove that properties such as being Galois or purely inseparab…