Geodesic
Sections of sheets in a~reductive algebraic Lie algebra
Izvestiya. Mathematics , Tome 20 (1983) no. 3, pp. 449-458.

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It is shown that each sheet in a reductive algebraic Lie algebra possesses a geometric quotient. Bibliography: 3 titles. 
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P. I. Katsylo. Sections of sheets in a~reductive algebraic Lie algebra. Izvestiya. Mathematics , Tome 20 (1983) no. 3, pp. 449-458. http://geodesic.mathdoc.fr/item/IM2_1983_20_3_a2/

[1] Borho W., Kraft H., “Über Bahnen und deren Deformationen bei linearen Aktionen reductiver Gruppen”, Comm. Math. Helv., 54 (1979), 61–104 | DOI | MR | Zbl

[2] Ganning P., Poccu X., Analiticheskie funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1969 | MR

[3] Mamford D., Algebraicheskaya geometriya, Mir, M., 1979 | MR