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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Globalizations of Harish-Chandra modules
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by Wilfried Schmid and Joseph A. Wolf PDF
Bull. Amer. Math. Soc. 17 (1987), 117-120
References
    1. R. Aguilar-Rodriguez, Connections between representations of Lie groups and sheaf cohomology, Thesis, Harvard Univ., 1987.
  • Alexander Beĭlinson and Joseph Bernstein, A generalization of Casselman’s submodule theorem, Representation theory of reductive groups (Park City, Utah, 1982) Progr. Math., vol. 40, Birkhäuser Boston, Boston, MA, 1983, pp. 35–52. MR 733805
  • Henryk Hecht, Dragan Miličić, Wilfried Schmid, and Joseph A. Wolf, Localization and standard modules for real semisimple Lie groups. I. The duality theorem, Invent. Math. 90 (1987), no. 2, 297–332. MR 910203, DOI 10.1007/BF01388707
    • 4. H. Hecht, D. Miličić, W. Schmid and J. A. Wolf, Localization and standard modules for real semisimple Lie groups. II: Applications (to appear).
  • Wilfried Schmid, Homogeneous complex manifolds and representations of semisimple Lie groups, Proc. Nat. Acad. Sci. U.S.A. 59 (1968), 56–59. MR 225930, DOI 10.1073/pnas.59.1.56
  • Wilfried Schmid, $L^{2}$-cohomology and the discrete series, Ann. of Math. (2) 103 (1976), no. 2, 375–394. MR 396856, DOI 10.2307/1970944
  • Wilfried Schmid, Boundary value problems for group invariant differential equations, Astérisque Numéro Hors Série (1985), 311–321. The mathematical heritage of Élie Cartan (Lyon, 1984). MR 837206
  • David A. Vogan Jr., Representations of real reductive Lie groups, Progress in Mathematics, vol. 15, Birkhäuser, Boston, Mass., 1981. MR 632407
  • Joseph A. Wolf, The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces, Memoirs of the American Mathematical Society, No. 138, American Mathematical Society, Providence, R.I., 1974. MR 0393350
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 17 (1987), 117-120
  • MSC (1985): Primary 22E46, 22E47; Secondary 32M10
  • DOI: https://doi.org/10.1090/S0273-0979-1987-15530-3
  • MathSciNet review: 888885