Skip to main content

Unipotent representations and unitarity

  • 407 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1243)

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. J. Arthur, On some problems suggested by the trace formula, Lecture Notes in Math 1041, Springer Verlag 1984.

    Google Scholar 

  2. D. Barbasch, A reduction theorem for the unitary spectrum of U(p,q), preprint Rutgers University 1984.

    Google Scholar 

  3. D. Barbasch, D. Vogan, Unipotent representations of complex semisimple Lie groups, Ann. of Math., 121, (1985) 41–110.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M. Duflo, Représentations irréductibles des groupes semisimples complexes, LNM 497 (1975) 26–88.

    MathSciNet  MATH  Google Scholar 

  5. Représentations unitaires irréductibles des groupes simples complexes de rang deux, Bull. Soc. Math., France 107 (1979) 55–96.

    Google Scholar 

  6. G. Lusztig, Characters of a reductive group over a finite field, Princeton Univ. Press, Princeton NJ 1984.

    CrossRef  MATH  Google Scholar 

  7. D. Vogan, Representations of real reductive groups, Birkhäuser Boston 1981.

    Google Scholar 

  8. _____, Unitarizability of certain series of representations, Ann. of Math., 120 (1984) 141–187.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. _____, The unitary dual of GL(n) over an archimedean field, preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this chapter

Cite this chapter

Barbasch, D. (1987). Unipotent representations and unitarity. In: Carmona, J., Delorme, P., Vergne, M., M.I.T. (eds) Non-Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073018

Download citation

  • DOI: https://doi.org/10.1007/BFb0073018

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17701-2

  • Online ISBN: 978-3-540-47775-4

  • eBook Packages: Springer Book Archive