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http://hdl.handle.net/10071/14921
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Title: On L-packets and depth for SL2(K) and its inner form
Authors: Aubert, A.-M.
Mendes, S.
Plymen, R.
Solleveld, M.
Keywords: Representation theory
Local field
L-packets
Depth
Issue Date: 2017
Publisher: World Scientific Publishing
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.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/14921
DOI: 10.1142/S1793042117501421
ISSN: 1793-0421
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-43606
Accession number: WOS:000413023600005
Appears in Collections:ISTAR-RI - Artigos em revistas científicas internacionais com arbitragem científica

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