Abstract

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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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 203-239
Launched on MUSE
2014-01-22
Open Access
No
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