Free subalgebras of enveloping fields

Makar-Limanov, L.; Malcolmson, P.

doi:10.1090/S0002-9939-1991-1041015-7

Free subalgebras of enveloping fields
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by L. Makar-Limanov and P. Malcolmson PDF

Proc. Amer. Math. Soc. 111 (1991), 315-322 Request permission

Abstract:

Let $K$ be a field of characteristic zero and $L$ a nonabelian Lie algebra over $K$. We show that the skew field of fractions of the enveloping algebra of $L$ over $K$ contains a free noncommutative $K$-algebra when $L$ is solvable or finite-dimensional.

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