Geodesic
Decomposition of Splitting Invariants in Split Real Groups
Canadian journal of mathematics, Tome 63 (2011) no. 5, pp. 1083-1106

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DOI

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.
DOI : 10.4153/CJM-2011-024-5
Mots-clés : 11F70, 22E47, 11S37, 11F72, 17B22, endoscopy, real lie group, splitting invariant, transfer factor 
Kaletha, Tasho. Decomposition of Splitting Invariants in Split Real Groups. Canadian journal of mathematics, Tome 63 (2011) no. 5, pp. 1083-1106. doi: 10.4153/CJM-2011-024-5
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