The kernel of an homomorphism of Harish-Chandra
T. Levasseur, J. T. Stafford (1996)
Annales scientifiques de l'École Normale Supérieure
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T. Levasseur, J. T. Stafford (1996)
Annales scientifiques de l'École Normale Supérieure
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George Lusztig (1992)
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A. Joseph (1980)
Compositio Mathematica
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O. Gabber, A. Joseph (1981)
Compositio Mathematica
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Jen-Tseh Chang (1993)
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Martin Fankhauser (1995)
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Let be a smooth, affine complex variety, which, considered as a complex manifold, has the singular -cohomology of a point. Suppose that is a complex algebraic group acting algebraically on . Our main results are the following: if is semi-simple, then the generic fiber of the quotient map contains a dense orbit. If is connected and reductive, then the action has fixed points if .
Edward Cline, Brian Parshall, Leonard Scott (1975)
Publications Mathématiques de l'IHÉS
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