-
Supercuspidal L-packets via isocrystals
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 136, Number 1, February 2014
- pp. 203-239
- 10.1353/ajm.2014.0001
- Article
- Additional Information
- Purchase/rental options available:
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.