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arXiv · 1201.5658

On Splitting Invariants and Sign Conventions in Endoscopic Transfer

R. Kottwitz·D. Shelstad
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Abstract

The transfer factors for standard endoscopy involve, among other things, the Langlands-Shelstad splitting invariant. This note introduces a twisted version of that splitting invariant. The twisted splitting invariant is then used to define a better twisted factor $Δ_I$. In addition we correct a sign error in the definition of twisted transfers. There are two ways to correct the sign error. One way yields twisted transfer factors $Δ'$ that are compatible with the classical Langlands correspondence. The other way yields twisted transfer factors $Δ_D$ that are compatible with a renormalized version of the Langlands correspondence.

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BibTeXRIS

R. Kottwitz, D. Shelstad. 2012-01-26. On Splitting Invariants and Sign Conventions in Endoscopic Transfer. https://arxiv.org/abs/1201.5658

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