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Localization in enveloping algebras

Published online by Cambridge University Press:  24 October 2008

A. I. Lichtman
A. I. Lichtman
Affiliation:
Ben Gurion University of the Negev, Beer-Sheva, Israel
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Extract

Let L be a finite-dimensional Lie algebra and U(L) its universal envelope. It is known that U(L) is a Noetherian domain (see (5), theorem v. 3·4) and therefore U(L) has a field of fractions. (Throughout the paper we use the term ‘field’ in the sense of skew field.) We prove in this article the following theorem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 3 , May 1983 , pp. 467 - 475
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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