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On Universal Fields of Fractions for Free Algebras

✍ Scribed by A.I. Lichtman

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
164 KB
Volume
231
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let L be an arbitrary Lie algebra. Then by Cohn's Theorem its universal Ε½ . enveloping algebra can be embedded in a skew field D L . We study this skew Ε½ . field in the case when L is a free Lie algebra and prove that in this case D L is Ε½ . 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.

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