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Decomposition of Splitting Invariants in Split Real Groups

Published online by Cambridge University Press:  20 November 2018

Tasho Kaletha
Tasho Kaletha*
Affiliation:
University of Chicago, Chicago, IL 60637 USA email: tkaletha@math.uchicago.edu
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Abstract

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For a maximal torus in a quasi-split semi-simple simply-connected group over a local field of characteristic 0, Langlands and Shelstad constructed a cohomological invariant called the splitting invariant, which is an important component of their endoscopic transfer factors. We study this invariant in the case of a split real group and prove a decomposition theorem which expresses this invariant for a general torus as a product of the corresponding invariants for simple tori. We also show how this reduction formula allows for the comparison of splitting invariants between different tori in the given real group.

Keywords

11F7022E4711S3711F7217B22endoscopyreal lie groupsplitting invarianttransfer factor

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 5 , 18 October 2011 , pp. 1083 - 1106
Copyright
Copyright © Canadian Mathematical Society 2011

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