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Reductive group actions on Stein spaces

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References

  1. Barth, W., Otte, M.: Invariante holomorphe Funktionen auf reduktiven Liegruppen. Math. Ann.201, 97–112 (1973)

    Article  Google Scholar 

  2. Birkes, D.: Orbits of linear algebraic groups. Ann. Math.93, 459–475 (1971)

    Google Scholar 

  3. Borel, A.: Linear algebraic groups. New York: Benjamin 1969

    Google Scholar 

  4. Borel, A.: Representations de groupes localement compacts. In: Lecture Notes in Mathematics. Vol. 276. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  5. Cartan, H.: Les fonctions de deux variables complexes et le problème de la représentation analytique. J. Math. Pures Appl.10, 1–114 (1931)

    Google Scholar 

  6. Cartan, H.: Quotients of complex analytic spaces. International Colloquium on Function Theory, Tata Institute of Fundamental Research, Bombay, 1960

    Google Scholar 

  7. Fischer, G.: Complex analytic geometry. In: Lecture Notes in Mathematics, Vol. 538. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  8. Grauert, H.: Bemerkenswerte pseudokonvexe Mannigfaltigkeiten. Math. Z.81, 377–391 (1963)

    Google Scholar 

  9. Grauert, H., Remmert, R.: Theory of Stein space. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  10. Harish-Chandra: Discrete series for semi-simple Lie groups. II. Acta Math.116, 1–111 (1966)

    Google Scholar 

  11. Hilbert, D.: Über die Theorie der algebraischen Formen. Math. Ann.36, 473–534 (1890)

    Google Scholar 

  12. Hilbert, D.: Über die vollen Invariantensysteme. Math. Ann42, 313–373 (1893)

    Google Scholar 

  13. Hochschild, G., Mostow, G.D.: Representations and representative functions of Lie groups. III. Ann. Math.70, 85–100 (1959)

    Google Scholar 

  14. Hochschild, G., Mostow, G.D.: Affine embeddings of complex analytic homogeneous spaces. Am. J. of Math.87, 807–839 (1965)

    Google Scholar 

  15. Holmann, H.: Komplexe Räume mit komplexen Transformationsgruppen. Math. Ann.150, 327–360 (1963)

    Google Scholar 

  16. Kostant, B.: Lie group representations on polynomial rings. Am. J. Math.85, 327–404 (1963)

    Google Scholar 

  17. Luna, D.: Adhérences d'orbit et invariants. Invent. Math.29, 231–238 (1975)

    Google Scholar 

  18. Luna, D.: Slices etales. Bull. Soc. math. France Mém.33, 81–105 (1973)

    Google Scholar 

  19. Matsushima, Y.: Espaces homogènes de Stein des groupes de Lie complexes. Nagoya Math. J.16, 205–218 (1960)

    Google Scholar 

  20. Medernach, C.: Zur Abbildungstheorie Steinscher Räume. Doctoral Dissertation. University of Fribourg, Switzerland, 1980

    Google Scholar 

  21. Mumford, D.: Geometric invariant theory. In: Ergebnisse der Mathematik, Bd. 34. Berlin, Heidelberg, New York, Springer 1965

    Google Scholar 

  22. Nagata, M.: Invariants of a group in an affine ring. J. Math. Kyoto Univ.3, 369–377 (1964)

    Google Scholar 

  23. Richardson, R.: Principal orbit types for reductive groups acting on Stein manifolds. Math. Ann.208, 323–331 (1974)

    Google Scholar 

  24. Weyl, H.: Classical groups. Princeton. Princeton University Press1946

    Google Scholar 

  25. Kaup, W.: Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen. Invent. Math.3, 43–70 (1967)

    Google Scholar 

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Snow, D.M. Reductive group actions on Stein spaces. Math. Ann. 259, 79–97 (1982). https://doi.org/10.1007/BF01456830

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