On universal fields of fractions for free algebras

[摘要] Let L be an arbitrary Lie algebra. Then by Cohn's Theorem its universal enveloping algebra can be embedded in a skew field D(L). We study this skew field in the case when L is a free Lie algebra and prove that in this case D(L) is isomorphic to the universal field of fractions for the free associative algebra U(L). We apply this theorem to obtain new results on free fields. (C) 2000 Academic Press.

[发布日期] 2000-09-15