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Poles of Intertwining Operators via Endoscopy; the Connection with Prehomogeneous Vector Spaces With an Appendix, `Basic Endoscopic Data', by Diana Shelstad To the Memory of Magdy Assem

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Compositio Mathematica

Abstract

In this paper, we determine the residues at poles of standard intertwining operators for parabolically induced representations of an arbitrary connected reductive quansisplit algebraic group over a p-acid field whenever the unipotent radical of the parabolic subgroup is Abelian. We then interpret these residues by means of the theory of endoscopy.

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References

  1. Kottwitz, R.: Tamagawa numbers, Ann. of Math. 127 (1988), 629-646.

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  2. Kottwitz, R. and Shelstad, D.: Foundations of twisted endoscopy, Asterisque 255 (1999).

  3. Langlands, R. and Shelstad, D.: Descent for transfer factors, The Grothendieck Festchrift Vol. II, Birkhauser, Boston, 1990.

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  4. Renard, D. and Shelstad, D.: Twisted endoscopy for real groups, preprint, In preparation.

  5. Shahidi, F.: Poles of intertwining operators via endoscopy; the connection with prehomogeneous vector spaces, Compositio Math. this volume.

  6. Steinberg, R.: Endomorphisms of algebraic groups, Mem. Amer. Math. Soc. 80 (1968).

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Shahidi, F. Poles of Intertwining Operators via Endoscopy; the Connection with Prehomogeneous Vector Spaces With an Appendix, `Basic Endoscopic Data', by Diana Shelstad To the Memory of Magdy Assem. Compositio Mathematica 120, 291–325 (2000). https://doi.org/10.1023/A:1002038928169

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  • DOI: https://doi.org/10.1023/A:1002038928169

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