Supercuspidal L-packets via isocrystals

Details Supercuspidal L-packets via isocrystals Supercuspidal L-packets via isocrystals

2010-04-13

arxiv.org/abs/1004.2230v2

Mathematics

Representation Theory

26 pages. Revisions in section 3: exposition focused on depth-zero L-packets, proofs streamlined, restrictions on the residual

Scientific paper

In a recent paper, DeBacker and Reeder construct and parameterize L-packets on pure inner forms of unramified p-adic groups, that consist of depth zero supercuspidal representations. We generalize their work to non-pure inner forms, by providing an alternative construction based on the theory of isocrystals with additional structure due to Kottwitz. Furthermore, we show the stability and endoscopic transfer for these L-packets.

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