The minimal orbit in a simple Lie algebra and its associated maximal ideal
A. Joseph (1976)
Annales scientifiques de l'École Normale Supérieure
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A. Joseph (1976)
Annales scientifiques de l'École Normale Supérieure
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Kenneth A. Brown (1984)
Compositio Mathematica
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Anthony Joseph (1979)
Bulletin de la Société Mathématique de France
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A. Joseph (1980)
Compositio Mathematica
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Pruschke, T. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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James J. Madden, Niels Schwartz (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.