Skip to main content
Log in

A proof of Blattner's conjecture

  • Published:
Inventiones mathematicae Aims and scope

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.

References

  1. Borel, A., Siebenthal, J. de: Les sous-groupes fermés de rang maximum des groupes de Lie clos. Comm. Math. Helv.23, 200–221 (1949)

    Google Scholar 

  2. Harish-Chandra: The characters of semi-simple Lie groups. Trans. Amer. Math. Soc.83, 98–163 (1956)

    Google Scholar 

  3. Harish-Chandra: Invariant eigendistributions on a semi-simple Lie group. Trans. Amer. Math. Soc.119, 457–508 (1965)

    Google Scholar 

  4. Harish-Chandra: Discrete series for semi-simple Lie groups I. Acta Math.113, 241–318 (1965)

    Google Scholar 

  5. Harish-Chandra: Discrete series for semi-simple Lie groups II. Acta Math.116, 1–111 (1966)

    Google Scholar 

  6. Hecht, H.: The characters of Harish-Chandra representations, Thesis, Columbia University, 1974, to appear in Math. Ann.

  7. Hecht, H., Schmid, W.: On integrable representations of a semi-simple Lie group. Math. Ann., to appear

  8. Hirai, T.: Explicit form of the characters of discrete series representations of semi-simple Lie groups, Proceedings of Symposia in Pure Mathematics, XXVI, 281–287

  9. Hotta, R., Parthasarathy, R.: Multiplicity formulae for discrete series. Inventiones math.26, 133–178 (1974)

    Google Scholar 

  10. Schmid, W.: On the realization of the discrete series of a semi-simple Lie group. Rice University Studies56, 99–108 (1970)

    Google Scholar 

  11. Schmid, W.: On the characters of the discrete series (the Hermitian symmetric case). Inventiones math.30, 47–144 (1975)

    Google Scholar 

  12. Schmid, W.: Some remarks about the discrete series characters ofSp (n, ℝ), Proc. of the Colloquium on Noncommutative Harmonic Analysis, Marseille, 1974. Lecture Notes in Mathematics no. 466. Berlin-Heidelberg-New York: Springer

  13. Schmid, W.: Some properties of square-integrable representations of semi-simple Lie groups. Ann. of Math., to appear

  14. Trombi, P., Varadarajan, V.S.: Asymptotic behavior of eigenfunctions on a semi-simple Lie group: the discrete spectrum. Acta Math.129, 237–280 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by NSF grants MPS 70-01864A04 (Hecht) and MPS 71-03442A04 (Schmid).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hecht, H., Schmid, W. A proof of Blattner's conjecture. Invent Math 31, 129–154 (1976). https://doi.org/10.1007/BF01404112

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01404112

Navigation