On L-packets and depth for SL2(K) and its inner form
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2017 |
| Outros Autores: | , , |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10071/14921 |
Resumo: | 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. |
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On L-packets and depth for SL2(K) and its inner formRepresentation theoryLocal fieldL-packetsDepthWe 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.World Scientific Publishing2018-01-11T12:31:41Z2017-01-01T00:00:00Z20172019-03-25T17:35:13Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/14921eng1793-042110.1142/S1793042117501421Aubert, A.-M.Mendes, S.Plymen, R.Solleveld, M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:49:18Zoai:repositorio.iscte-iul.pt:10071/14921Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:24:12.165086Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
| dc.title.none.fl_str_mv |
On L-packets and depth for SL2(K) and its inner form |
| title |
On L-packets and depth for SL2(K) and its inner form |
| spellingShingle |
On L-packets and depth for SL2(K) and its inner form Aubert, A.-M. Representation theory Local field L-packets Depth |
| title_short |
On L-packets and depth for SL2(K) and its inner form |
| title_full |
On L-packets and depth for SL2(K) and its inner form |
| title_fullStr |
On L-packets and depth for SL2(K) and its inner form |
| title_full_unstemmed |
On L-packets and depth for SL2(K) and its inner form |
| title_sort |
On L-packets and depth for SL2(K) and its inner form |
| author |
Aubert, A.-M. |
| author_facet |
Aubert, A.-M. Mendes, S. Plymen, R. Solleveld, M. |
| author_role |
author |
| author2 |
Mendes, S. Plymen, R. Solleveld, M. |
| author2_role |
author author author |
| dc.contributor.author.fl_str_mv |
Aubert, A.-M. Mendes, S. Plymen, R. Solleveld, M. |
| dc.subject.por.fl_str_mv |
Representation theory Local field L-packets Depth |
| topic |
Representation theory Local field L-packets Depth |
| description |
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. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017-01-01T00:00:00Z 2017 2018-01-11T12:31:41Z 2019-03-25T17:35:13Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10071/14921 |
| url |
http://hdl.handle.net/10071/14921 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
1793-0421 10.1142/S1793042117501421 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
World Scientific Publishing |
| publisher.none.fl_str_mv |
World Scientific Publishing |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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