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Transfer and Descent: Some Recent Results

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Book cover Harmonic Analysis on Reductive Groups

Part of the book series: Progress in Mathematics ((PM,volume 101))

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Abstract

A basic tool for studying the transfer of representations is the dual transfer of orbital integrals. In this paper we report on some recent results for orbital integrals and, in particular, on a descent theorem [LS3].

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References

  1. L. Clozel and P. Delorme, Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs, Inv. Math. 77 (1984), 427–453.

    Article  MathSciNet  MATH  Google Scholar 

  2. T. Hales, The subregular germ of orbital integrals, Thesis, Princeton University.

    Google Scholar 

  3. T. Hales, Orbital integrals on U(3), to appear.

    Google Scholar 

  4. T. Hales, Shalika germs on GSp(4), Astérisque, Nos. 171-172 (1989), 195–256.

    Google Scholar 

  5. R. Kottwitz, Stable trace formula: elliptic singular terms, Math. Ann. 275 (1986), 365-399.

    Article  MathSciNet  MATH  Google Scholar 

  6. R. Kottwitz and D. Shelstad, Twisted endoscopy, in preparation.

    Google Scholar 

  7. R. Langlands and D. Shelstad, On the definition of transfer factors. Math. Ann. 278 (1987), 219-271.

    Article  MathSciNet  MATH  Google Scholar 

  8. R. Langlands, Orbital integrals on forms of 5L(3), II, Can. J. Math. XLI (1989), 480–507.

    Article  MathSciNet  Google Scholar 

  9. R. Langlands, Descent for transfer factors, The Grothendieck Festschrift, vol II, BirkHäuser, Boston, 1991, pp. 485–563.

    Google Scholar 

  10. D. Shelstad, L-indistinguishability for real groups, Mathematische Annalen 259 (1982), 385-430.

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Shelstad, A formula for regular unipotent germs, Astérisque 171–172 (1989), 275–277.

    MathSciNet  Google Scholar 

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© 1991 Springer Science+Business Media New York

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Shelstad, D. (1991). Transfer and Descent: Some Recent Results. In: Barker, W.H., Sally, P.J. (eds) Harmonic Analysis on Reductive Groups. Progress in Mathematics, vol 101. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0455-8_15

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  • DOI: https://doi.org/10.1007/978-1-4612-0455-8_15

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6768-3

  • Online ISBN: 978-1-4612-0455-8

  • eBook Packages: Springer Book Archive

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