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Universelle versus relative Einhüllende: Eine geometrische Untersuchung von Quotienten von universellen Einhüllenden halbeinfacher Lie-Algebren

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Literatur

  1. Borho, W., Brylinski, J.-L.: Differential operators on homogeneous spaces. I. Invent. Math.69, 437–476 (1982)

    Article  Google Scholar 

  2. Borho, W., Brylinski, J.-L.: Differential operators on homogeneous spaces. II. Preprint (1987)

  3. Beilinson, A.: Localisation of representations of reductive Lie algebras. In: Proceedings of the ICM, Warschau, 699–710 (1983)

  4. Borho, W., Jantzen, J.C.: Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra. Invent. Math.39, 1–53 (1977)

    Google Scholar 

  5. Bourbaki, N.: Groupes et algèbres de Lie 4-6. Paris: Herman 1968

    Google Scholar 

  6. Chatters, A.W., Hajarnavis, C.R.: Rings with chain condition. Research Notes in Mathematics, Vol. 44. Boston London Melbourne: Pitman 1980

    Google Scholar 

  7. Dixmier, J.: Algèbres enveloppantes. Paris Bruxelles Montreal: Gauthiers-Villars 1974

    Google Scholar 

  8. Gelfand, I.M., Kirillov, A.M.: The structure of the Lie field connected with a split semisimple Lie algebra. Funct. Anal. Appl.3, 6–21 (1969)

    Article  Google Scholar 

  9. Hartshorne, R.: Algebraic geometry. Berlin Heidelberg New York: Springer 1977

    Google Scholar 

  10. Hecht, H., Milicic, D., Schmid, W., Wolf, J.A.: Localisation and standard modules for real semisimple Lie groups. I. The duality theorem. Invent. Math.90, 297–332 (1987)

    Article  Google Scholar 

  11. Jantzen, J.C.: Einhüllende Algebren halbeinfacher Lie-Algebren. Berlin Heidelberg New York: Springer 1983

    Google Scholar 

  12. Jantzen, J.C.: Moduln mit einem höchsten Gewicht. (Lecture Notes Mathematics, Vol. 750). Berlin Heidelberg New York: Springer 1970

    Google Scholar 

  13. Joseph, A.: Kostants problem, Goldie rank and Gelfand-Kirillov conjecture. Invent. Math.56, 191–213 (1980)

    Article  Google Scholar 

  14. Šapovalov, N.N.: Structure of the algebra of regular differential operators on a basic affine space. Funct. Anal. Appl.8, 37–46 (1974)

    Google Scholar 

  15. Šapovalov, N.N.: An existence theorem. Funct. Anal. Appl.10, 52–55 (1976)

    Article  Google Scholar 

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  1. Department of Mathematics, Harvard University, One Oxford Street, 02138, Cambridge, MA, USA

    Wolfgang Soergel

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  1. Wolfgang Soergel
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Soergel, W. Universelle versus relative Einhüllende: Eine geometrische Untersuchung von Quotienten von universellen Einhüllenden halbeinfacher Lie-Algebren. Math. Ann. 284, 177–198 (1989). https://doi.org/10.1007/BF01442871

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