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On Twisted Orbital Integral Identities for PGL(3) Over A p-adic Field
Published online by Cambridge University Press: 20 November 2018
Abstract
The object of this paper is to prove certain p-adic orbital integral identities needed in order to accomplish the symmetric square transfer via the twisted Arthur trace formula. Only §5 of this article contains original material, the rest of it is due to R. Langlands. Very briefly, we reduce the problem of proving certain orbital integral identities for “matching” functions in the respective Hecke algebras to two counting problems on the buildings. We give Langlands’ solution of one of these problems in the case of the unit elements of the respective Hecke algebras and §5 provides the solution to the other one, again, in the unit element case. The main results assume p ≠ 2.
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- Copyright © Canadian Mathematical Society 1990
Footnotes
Partially supported by an NSF fellowship.
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