Skip to main content

On the unitarizability of representations with highest weights

Part of the Lecture Notes in Mathematics book series (LNM,volume 466)

Keywords

  • High Weight
  • Irreducible Representation
  • Symmetric Space
  • Analytic Continuation
  • Unitary Representation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Harish-Chandra, Representations of semi-simple Lie groups IV, Amer. J. Math. 77 (1955), 743–777.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. -, Representations of semi-simple Lie groups V, Amer. J. Math., 78 (1956), 1–41.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. -, Representations of semi-simple Lie groups VI, Amer. J. Math. 78 (1956), 564–628.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. R. Hotta and N.R. Wallach, On Matsushima’s formula for the Betti numbers of a locally symmetric space, to appear.

    Google Scholar 

  5. K. Johnson and N.R. Wallach, Composition series and intertwining operators for the spherical principal series I, to appear.

    Google Scholar 

  6. A. Knapp and K. Okamoto, Limits of holomorphic discrete series, Jour. of Func. Anal., 9 (1972), 375–409.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. P. Sally, Analytic continuation of the irreducible unitary representations of the universal covering group of SL (2, R), Memoirs of the Amer. Math. Soc., No. 69, 1967.

    Google Scholar 

  8. W. Schmid, Die randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen, Inventiones Math., 9 (1969), 61–80.

    CrossRef  MATH  Google Scholar 

  9. M. Vergne, Article in these proceedings.

    Google Scholar 

  10. N.R. Wallach, The analytic continuation of the discrete series I, to appear.

    Google Scholar 

  11. N.R. Wallach, The analytic continuation of the discrete series II, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Wallach, N.R. (1975). On the unitarizability of representations with highest weights. In: Carmona, J., Dixmier, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 466. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082209

Download citation

  • DOI: https://doi.org/10.1007/BFb0082209

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07183-9

  • Online ISBN: 978-3-540-37524-1

  • eBook Packages: Springer Book Archive