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arXiv · 1001.0347

Decomposition of splitting invariants in split real groups

Tasho Kaletha
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Abstract

To a maximal torus in a quasi-split semi-simple simply-connected group over a local field of characteristic 0, Langlands and Shelstad construct 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.

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Tasho Kaletha. 2010-01-03. Decomposition of splitting invariants in split real groups. https://doi.org/10.4153/cjm-2011-024-5

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