Please use this identifier to cite or link to this item: http://hdl.handle.net/10071/13369
Author(s): Mendes, S.
Plymen, R.
Date: 2007
Title: Base change and K-theory for GL(n)
Volume: 1
Number: 3
Pages: 311-331
ISSN: 1661-6952
DOI (Digital Object Identifier): 10.4171/JNCG/9
Keywords: Local field
General linear group
Algebraic variety
Base change
K-theory
Abstract: 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).
Peerreviewed: yes
Access type: Open Access
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais com arbitragem científica

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