Free subalgebras of enveloping fields
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- by L. Makar-Limanov and P. Malcolmson
- Proc. Amer. Math. Soc. 111 (1991), 315-322
- DOI: https://doi.org/10.1090/S0002-9939-1991-1041015-7
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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.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 315-322
- MSC: Primary 16K40; Secondary 16D40, 16S30, 17B35
- DOI: https://doi.org/10.1090/S0002-9939-1991-1041015-7
- MathSciNet review: 1041015