Base change and K-theory for GL(n)

Detalhes bibliográficos
Autor(a) principal: Mendes, S.
Data de Publicação: 2007
Outros Autores: Plymen, R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://ciencia.iscte-iul.pt/id/ci-pub-20183
http://hdl.handle.net/10071/13369
Resumo: Let F be a nonarchimedean local field and let G = GL(n) = GL(n,F). Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level ofK-theory. We put special emphasis on the representations with Iwahori fixed vectors, and the tempered spectrum of GL(1) and GL(2). In this context, the prominent arithmetic invariant is the residue degree f(E/F).
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spelling Base change and K-theory for GL(n)Local fieldGeneral linear groupAlgebraic varietyBase changeK-theoryLet F be a nonarchimedean local field and let G = GL(n) = GL(n,F). Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level ofK-theory. We put special emphasis on the representations with Iwahori fixed vectors, and the tempered spectrum of GL(1) and GL(2). In this context, the prominent arithmetic invariant is the residue degree f(E/F).European Mathematical Society Publishing House2017-05-15T16:29:35Z2007-01-01T00:00:00Z20072017-05-15T16:28:39Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/id/ci-pub-20183http://hdl.handle.net/10071/13369eng1661-695210.4171/JNCG/9Mendes, S.Plymen, R.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:RCAAP2023-11-09T17:51:55Zoai:repositorio.iscte-iul.pt:10071/13369Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:25:48.532790Repositório 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 Base change and K-theory for GL(n)
title Base change and K-theory for GL(n)
spellingShingle Base change and K-theory for GL(n)
Mendes, S.
Local field
General linear group
Algebraic variety
Base change
K-theory
title_short Base change and K-theory for GL(n)
title_full Base change and K-theory for GL(n)
title_fullStr Base change and K-theory for GL(n)
title_full_unstemmed Base change and K-theory for GL(n)
title_sort Base change and K-theory for GL(n)
author Mendes, S.
author_facet Mendes, S.
Plymen, R.
author_role author
author2 Plymen, R.
author2_role author
dc.contributor.author.fl_str_mv Mendes, S.
Plymen, R.
dc.subject.por.fl_str_mv Local field
General linear group
Algebraic variety
Base change
K-theory
topic Local field
General linear group
Algebraic variety
Base change
K-theory
description Let F be a nonarchimedean local field and let G = GL(n) = GL(n,F). Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level ofK-theory. We put special emphasis on the representations with Iwahori fixed vectors, and the tempered spectrum of GL(1) and GL(2). In this context, the prominent arithmetic invariant is the residue degree f(E/F).
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01T00:00:00Z
2007
2017-05-15T16:29:35Z
2017-05-15T16:28:39Z
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 https://ciencia.iscte-iul.pt/id/ci-pub-20183
http://hdl.handle.net/10071/13369
url https://ciencia.iscte-iul.pt/id/ci-pub-20183
http://hdl.handle.net/10071/13369
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1661-6952
10.4171/JNCG/9
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv European Mathematical Society Publishing House
publisher.none.fl_str_mv European Mathematical Society Publishing House
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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