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Twisted gamma filtration of a linear algebraic group

Part of: Linear algebraic groups and related topics Algebraic groups Cycles and subschemes

Published online by Cambridge University Press:  25 July 2012

Kirill Zainoulline
Kirill Zainoulline*
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, 585 King Edward, Ottawa, ON K1N6N5, Canada (email: [email protected])
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Abstract

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In the present paper we introduce and study the twisted γ-filtration on K0(Gs), where Gs is a split simple linear algebraic group over a field k of characteristic prime to the order of the center of Gs. We apply this filtration to construct nontrivial torsion elements in γ-rings of twisted flag varieties.

Keywords

torsorlinear algebraic groupgamma filtrationtwisted flag variety

MSC classification

Secondary: 20G15: Linear algebraic groups over arbitrary fields 14C25: Algebraic cycles 14L30: Group actions on varieties or schemes (quotients)
Type
Research Article
Information
Compositio Mathematica , Volume 148 , Issue 5 , September 2012 , pp. 1645 - 1654
Copyright
Copyright © Foundation Compositio Mathematica 2012

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