Character Relations between Singular Holomorphic Representations

  • Heather Willow Chang
Part of the Progress in Mathematics book series (PM, volume 40)


This note is a complement to [EHW] and [Hol] in this volume.


Dual Pair Symmetric Bilinear Form Character Formula Holomorphic Representation Holomorphic Discrete Series 
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  1. [EHW]
    T. Enright, R. Howe, and N. Wallach, A classification of unitary highest weight modules, this volume.Google Scholar
  2. [HC]
    Harish-Chandra, Representations of semisimnle Lie groups, IV, Am J. Math. 77(1955), 743–777; V.Am. J. Math, 78 (1956), 1–41.CrossRefGoogle Scholar
  3. [He]
    H. Hecht, The Caracters of some Representations of Harish-Chandra, Math.Ann. 219, 213–226 (1976).CrossRefGoogle Scholar
  4. [Hol]
    R. Howe, Reciprocity laws in the theory of dual pairs, this volume.Google Scholar
  5. [Ho2]
    R. Howe, Invariant theory and duality for classical groups over finite fields, preprintGoogle Scholar
  6. [Ho3]
    R. Howe, Quantum Mechanics and Partial Differential Equations, J. Fun. Anal, 38 (1980), 138–254.Google Scholar
  7. [P]
    R. Parthasarathy, Criteria for the unitarizability of some highest weight modules, Proc. Ind. Acad. Sci. 89 (1930), 1–24.CrossRefGoogle Scholar
  8. [RSW]
    J. Rawnsley, W. Schmid and J. Wolf, Singular unitary representations and indefinite harmonic theory, preprint.Google Scholar
  9. [RW]
    A. Rocha-Caridi and N. Wallach, to appear.Google Scholar
  10. [T]
    P. Torasso, Sur le caractere de la representation de Shale-Weil de Mp (n, ℝ ) et Sn (n,(ℂ), Math. Ann. 252 (1980), 53–86.CrossRefGoogle Scholar

Copyright information

© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • Heather Willow Chang

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