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Descent for Transfer Factors

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Part of the book series: Modern Birkhäuser Classics ((MBC))

Abstract

In [I] we introduced the notion of transfer from a group over a local field to an associated endoscopic group, but did not prove its existence, nor do we do so in the present paper. Nonetheless we carry out what is probably an unavoidable step in any proof of existence: reduction to a local statement at the identity in the centralizer of a semisimple element, a favorite procedure of Harish Chandra that he referred to as descent.

Partially supported by NSF Grant DMS 86-02193

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Dedicated to A. Grothendieck on his 60th Birthday

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Langlands, R., Shelstad, D. (2007). Descent for Transfer Factors. In: Cartier, P., Katz, N.M., Manin, Y.I., Illusie, L., Laumon, G., Ribet, K.A. (eds) The Grothendieck Festschrift. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4575-5_12

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  • DOI: https://doi.org/10.1007/978-0-8176-4575-5_12

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