Base change and K-theory for GL(n)

Bibliographic Details
Main Author: Mendes, S.
Publication Date: 2007
Other Authors: Plymen, R.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://ciencia.iscte-iul.pt/id/ci-pub-20183
http://hdl.handle.net/10071/13369
Summary: 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-07T03:26:02Zoai:repositorio.iscte-iul.pt:10071/13369Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:23:22.780696Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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