On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case
Anthony Joseph (1979)
Bulletin de la Société Mathématique de France
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Anthony Joseph (1979)
Bulletin de la Société Mathématique de France
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Walter Borho (1976-1977)
Séminaire Bourbaki
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Dmitri I. Panyushev (2005)
Annales de l’institut Fourier
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We prove an extension of Rais' theorem on the coadjoint representation of certain graded Lie algebras. As an application, we prove that, for the coadjoint representation of any seaweed subalgebra in a general linear or symplectic Lie algebra, there is a generic stabiliser and the field of invariants is rational. It is also shown that if the highest root of a simple Lie algerba is not fundamental, then there is a parabolic subalgebra whose coadjoint representation...
Pruschke, T. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Anthony Joseph (1974)
Bulletin de la Société Mathématique de France
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A. Joseph (1980)
Compositio Mathematica
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Sam Evens, Jiang-Hua Lu (2006)
Annales scientifiques de l'École Normale Supérieure
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