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Base change and a matching theorem for real groups

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Non Commutative Harmonic Analysis and Lie Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 880))

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References

  1. A. Borel, Automorphic L-functions, Proc. Sympos., Pure Math., vol. XXXIII, part 2, Amer. Math. Soc., (1979), pp. 27–61.

    Article  MathSciNet  MATH  Google Scholar 

  2. L. Clozel, "Base Change" geometrique: Relevement de la Serie Principale de GLn (n,ℂ/ℝ), Springer Lecture Notes in Math., Vol. 728 (1979), pp. 17–41.

    Article  MathSciNet  Google Scholar 

  3. J.-P. Labesse and R.P. Langlands, L-indistinguishability for SL2, Canad. J. Math., Vol. XXXI, No. 4, (1979) pp. 726–785.

    Article  MathSciNet  MATH  Google Scholar 

  4. R. P. Langlands, Stable conjugacy: definitions and lemmas, Canad. J. Math., Vol. XXXI, No. 4, (1979) pp. 700–725.

    Article  MathSciNet  MATH  Google Scholar 

  5. _____, Base Change for GL(2): the theory of Saito-Shintani, with applications.

    Google Scholar 

  6. J. Repka, Base change lifting and Galois invariance, preprint.

    Google Scholar 

  7. ____, Base Change for tempered irreducible representations of GLn(ℝ), preprint.

    Google Scholar 

  8. D. Shelstad, Orbital Integrals for GL2(ℝ), Proc. Sympos. Pure Math., vol. XXXIII, part 1, Amer. Math. Soc. (1979), pp. 107–110.

    Article  MathSciNet  Google Scholar 

  9. _____, Notes on L-indistinguishability (based on a lecture of R.P. Langlands), Proc. Sympos. Pure Math., vol XXXIII, part 2, Amer. Math. Soc., (1979), pp. 193–203.

    Article  MathSciNet  MATH  Google Scholar 

  10. _____, Characters and inner forms of a quasi-split group over ℝ, Compositio Math., vol 39 (1979), pp. 11–45.

    MathSciNet  MATH  Google Scholar 

  11. ____, Orbital integrals and a family of groups attached to a real reductive group, Ann. Scient. Ec. Norm. Sup., 4e serie., t. 12 (1979), pp. 1–31.

    MathSciNet  MATH  Google Scholar 

  12. _____, Embeddings of L-groups, to appear in Canad. J. Math.

    Google Scholar 

  13. _____, L-indistinguishability for real groups, to appear.

    Google Scholar 

  14. T. Shintani, On irreducible unitary characters of a certain group extension of GL2(ℂ), J. Math. Soc. Japan, vol. 29, no. 1, (1977), pp. 165–188.

    Article  MathSciNet  MATH  Google Scholar 

  15. R. Steinberg, Regular elements of semi-simple algebraic groups, Publ. Math. I.H.E.S., vol. 25 (1965), pp. 49–80.

    Article  Google Scholar 

  16. G. Warner, Harmonic Analysis on Semi-simple Lie Groups, Vols. I and II, Springer-Verlag (1972).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dept of Mathematics, Rutgers University, 08903, New Brunswick, NJ

    D. Shelstad

Authors
  1. D. Shelstad
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Jacques Carmona Michèle Vergne

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© 1981 Springer-Verlag

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Shelstad, D. (1981). Base change and a matching theorem for real groups. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 880. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090419

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  • DOI: https://doi.org/10.1007/BFb0090419

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10872-6

  • Online ISBN: 978-3-540-38783-1

  • eBook Packages: Springer Book Archive

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