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Publication Detailed Description
Journal Title
International Journal of Number Theory
Year (definitive publication)
2017
Language
English
Country
Singapore
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Abstract
We consider the group SL2(K), where K is a local non-archimedean field of characteristic two. We prove that the depth of any irreducible representation of SL2(K) is larger than the depth of the corresponding Langlands parameter, with equality if and only if the L-parameter is essentially tame. We also work out a classification of all L-packets for SL2(K) and for its non-split inner form, and we provide explicit formulae for the depths of their L-parameters.
Acknowledgements
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Keywords
Representation theory,Local field,L-packets,Depth
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| 639.032.528 | Netherlands Organisation for Scientific Research |
| UID/MULTI/0446/2013 | Fundação para a Ciência e a Tecnologia |
