Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras

Vitor O. Ferreira, Jairo Z. Gonçalves, Javier Sánchez

For any Lie algebra L over a field, its universal enveloping algebra U(L) can be embedded in a division ring D(L) constructed by Lichtman. If U(L) is an Ore domain, D(L) coincides…