On L-packets and depth for SL_2(K) and its inner form
We consider the group SL_2(K), where K is a local non-archimedean field of characteristic two. We prove that the depth of any irreducible representation of SL_2 (K) is larger than the depth of the corresponding Langlands parameter, with equality if and only if the L-parameter is essentially tame....
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
2017-07-07.
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Subjects: | |
Online Access: | Get fulltext |
Summary: | We consider the group SL_2(K), where K is a local non-archimedean field of characteristic two. We prove that the depth of any irreducible representation of SL_2 (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 SL_2 (K) and for its non-split inner form, and we provide explicit formulae for the depths of their L-parameters. |
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