Skip to main content
Log in

Composition series of generalized principal series; the case of strongly positive discrete series

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this paper we determine the composition series of the generalized principal seriesδσ assuming thatσ is strongly positive discrete series.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. Casselman,Introduction to the theory of admissible representations of p-adic reductive groups, preprint.

  2. C. Jantzen,Degenerate principal series for symplectic and odd-orthogonal groups, Memoirs of the American Mathematical Society590 (1996), 1–100.

    MathSciNet  Google Scholar 

  3. G. Muić,Some results on square integrable representations; Irreducibility of standard representations, International Mathematics Research Notices14 (1998), 705–726.

    Google Scholar 

  4. G. Muić,A proof of Casselman-Shahidi’s conjecture for quasi-split classical groups, Canadian Mathematical Bulletin44 (2001), 298–312.

    MathSciNet  Google Scholar 

  5. G. Muić,Howe correspondence for discrete series representations; the case of (Sp(n),O(V)), Journal für die reine und angewandte Mathematik, to appear.

  6. G. Muić,Composition series of generalized principal series; The general case, in preparation.

  7. G. Muić,Reducibility of generalized principal series, Canadian Journal of Mathematics, to appear.

  8. C. Mœglin,Sur la classification des séries discrètes des groupes classiques p-adiques: Paramètres de Langlands et exhaustivité, Journal of the European Mathematical Society4 (2002), 143–200.

    Article  Google Scholar 

  9. C. Mœglin and M. Tadić,Construction of discrete series for classical p-adic groups, Journal of the American Mathematical Society15 (2002), 715–786.

    Article  MathSciNet  Google Scholar 

  10. F. Shahidi,A proof of Langlands’ conjecture on Plancherel measures; Complementary series for p-adic groups, Annals of Mathematics132 (1990), 273–330.

    Article  MathSciNet  Google Scholar 

  11. F. Shahidi,Twisted endoscopy and reducibility of induced representations for p-adic groups, Duke Mathematical Journal66 (1992), 1–41.

    Article  MATH  MathSciNet  Google Scholar 

  12. M. Tadić,On reducibility of parabolic induction, Israel Journal of Mathematics107 (1998), 29–91.

    MathSciNet  Google Scholar 

  13. J.-L. Waldspurger,La formule de Plancherel pour les groupes p-adiques, d’après Harish-Chandra, Journal of the Institute of Mathematics of Jussieu2 (2003), 235–333.

    Article  MATH  MathSciNet  Google Scholar 

  14. A. V. Zelevinsky,Induced representations of reductive p-adic groups. On irreducible representations of GL(n), Annales Scientifiques de l’École Normale Supérieure13 (1980), 165–210.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Muić, G. Composition series of generalized principal series; the case of strongly positive discrete series. Isr. J. Math. 140, 157–202 (2004). https://doi.org/10.1007/BF02786631

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02786631

Keywords

Navigation