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Krull dimension of factor rings of the enveloping algebra of a semi-simple Lie algebra

Published online by Cambridge University Press:  24 October 2008

S. P. Smith
S. P. Smith
Affiliation:
University of Southern California, Los Angeles, California
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Extract

Let g be a semi-simple complex Lie algebra with enveloping algebra U(g). It is shown that the Krull dimension of U(g) is bounded above by dim g − r, where r is half the minimal dimension of a non-trivial G orbit in g (G is the adjoint group of g).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 3 , May 1983 , pp. 459 - 466
Copyright
Copyright © Cambridge Philosophical Society 1983

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