References
Beilinson, A., Bernstein, J.: Localisation de g-modules. C. R. Acad. Sci. Paris, Ser. I292, 15–18 (1981)
Beilinson, A., Bernstein, J.: A generalization of Casselman's submodule theorem. In: Representation theory of reductive groups, Progress in Mathematics, vol. 40, pp. 35–52. Boston: Birkhäuser 1983
Bialynicki-Birula, A.: On homogeneous affine spaces of linear algebraic groups. Am. J. Math.85, 577–582 (1963)
Borel, A.: Linear algebraic groups. New York: Benjamin 1969
Borel, A., et al.: AlgebraicD-modules. Boston-New York: Academic Press 1986
Brylinski, J.L., Kashiwara, M.: Kazhdan-Lusztig conjecture and holonomic systems. Invent. Math.64, 387–410 (1981)
Bourbaki, N.: Algébre, Ch. I–X. Paris: Masson 1980–1981
Bourbaki, N.: Groupes et algébres de Lie, Ch. I–VIII. Paris: Masson 1981
Cartan, H., Eilenberg, S.: Homological algebra. Princeton: Princeton University Press 1956
Dixmier, J.: Enveloping algebras. Amsterdam: North-Holland 1977
Enright, T.J., Wallach, N.R.: Notes on homological algebra and representations of Lie algebras. Duke Math. J.47, 1–15 (1980)
Grothendieck, A.: Sur quelques points d'algébre homologique. Tôhoku Math. J.9, 119–221 (1957)
Hochschild, G.: Introduction to affine algebraic groups. San Francisco: Holden-Day 1971
Kazhdan, D., Lusztig, G.: Representations of Coxeter groups and Hecke algebras. Invent. Math.53, 165–184 (1979)
Langlands, R.P.: On the classification of irreducible representations of real algebraic groups, mimeographed notes. Institute for Advanced Study, 1973
Lusztig, G., Vogan, D.: Singularities of closures ofK-orbits on flag manifolds. Invent. Math.71, 365–379 (1983)
Matsuki, T.: The orbits of affine symmetric spaces under the action of minimal parabolic subgroups. J. Math. Soc. Japan31, 332–357 (1979)
Miličić D.: Localization and representation theory of reductive Lie groups mimeographed notes; to appear
Miličić D., Taylor, J.L.: Localization and coherent continuation. (Preprint)
Mumford, D.: Geometric invariant theory. Ergebnisse der Mathematik, Band 34. Berlin-Heidelberg-New York: Springer Berlin 1965
Schmid, W.: Recent developments in representation theory. In: Proceedings of Arbeitstagung, Bonn 1984, Lect. Notes Math., vol. 1111 pp 135–153. Berlin-Heidelberg-New York-Tokyo: Springer 1985
Vogan, D.: Representations of real reductive Lie groups. Progress in Mathematics, vol. 15. Boston: Birkhäuser 1981
Vogan, D.: Irreducible characters of semisimple Lie groups III: proof of the Kazhdan-Lusztig conjectures in the integral case. Invent. Math.71, 381–417 (1983)
Wolf, J.A.: Finiteness of orbit structure for real flag manifolds. Geom. Dedicata3, 377–384 (1974)
Wolf, J.A.: Unitary representations on partially holomorphic cohomology spaces. Mem. Amer. Math. Soc.138 (1974)
Zuckerman, G.J.: Geometric methods in representation theory. In: Representation theory of reductive groups, Progress in Mathematics, vol. 40, pp. 283–290. Boston: Birkhäuser 1983
Author information
Authors and Affiliations
Additional information
Supported in part by NSF Grant DMS 85-03781
Supported in part by the Sloan Foundation and by NSF Grant DMS 85-03781
Supported in part by NSF Grant DMS 83-17436
Supported in part by NSF Grant DMS 85-13467
Rights and permissions
About this article
Cite this article
Hecht, H., Miličić, D., Schmid, W. et al. Localization and standard modules for real semisimple Lie groups I: The duality theorem. Invent Math 90, 297–332 (1987). https://doi.org/10.1007/BF01388707
Issue Date:
DOI: https://doi.org/10.1007/BF01388707