Base change and K-theory for GL(n)
Base change and K-theory for GL(n)
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 of K-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).
311-331
Mendes, Sergio
15127dc1-4f31-4609-a7c5-0fd10df6da08
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
2007
Mendes, Sergio
15127dc1-4f31-4609-a7c5-0fd10df6da08
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Mendes, Sergio and Plymen, Roger
(2007)
Base change and K-theory for GL(n).
Journal of Noncommutative Geometry, 1 (3), .
(doi:10.4171/JNCG/9).
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 of K-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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Published date: 2007
Organisations:
Pure Mathematics
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Local EPrints ID: 359946
URI: http://eprints.soton.ac.uk/id/eprint/359946
ISSN: 1661-6952
PURE UUID: f9cd4247-6c6c-4bfa-8f8b-02378b2c7e31
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Date deposited: 19 Nov 2013 13:36
Last modified: 14 Mar 2024 15:31
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Author:
Sergio Mendes
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