Base change and K-theory for GL(n)
K-Theory and Homology
2007-05-23 v2 Representation 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 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).
Keywords
Cite
@article{arxiv.math/0606135,
title = {Base change and K-theory for GL(n)},
author = {Sergio Mendes and Roger Plymen},
journal= {arXiv preprint arXiv:math/0606135},
year = {2007}
}
Comments
20 pages. Completely rewritten, much more concise