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1-Homotopy of Chevalley Groups

Published online by Cambridge University Press:  27 January 2010

Matthias Wendt
Matthias Wendt
Affiliation:
Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, 79104, Freiburg im Breisgau, Germany, matthias.wendt@math.uni-freiburg.de
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Abstract

In this paper, we describe the sheaves of 1-homotopy groups of a simply-connected Chevalley group G; these sheaves can be identified with the sheafification of certain unstable Karoubi-Villamayor K-groups.

Keywords

Motivic homotopy theoryunstable K-theoryalgebraic groups
Type
Research Article
Information
Journal of K-Theory , Volume 5 , Issue 2 , April 2010 , pp. 245 - 287
Copyright
Copyright © ISOPP 2010

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