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Central European Journal of Mathematics

, Volume 12, Issue 3, pp 421–428 | Cite as

Twisted gamma filtration and algebras with orthogonal involution

  • Caroline Junkins
Research Article
  • 64 Downloads

Abstract

For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.

Keywords

Linear algebraic group Tits algebra Gamma filtration Grothendieck group Torsion Algebras with orthogonal involution 

MSC

20G15 14C25 14L30 16W10 

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Copyright information

© Versita Warsaw and Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, Faculty of ScienceUniversity of OttawaOttawaCanada

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