Decomposition of splitting invariants in split real groups

Details Decomposition of splitting invariants in split real groups Decomposition of splitting invariants in split real groups

2010-01-03

arxiv.org/abs/1001.0347v1

Mathematics

Representation Theory

22 pages

Scientific paper

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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