%0 Journal Article
%T Twisted gamma filtration and algebras with orthogonal involution
%A Caroline Junkins
%J Mathematics
%D 2012
%I arXiv
%X For the Grothendieck group of a split simple linear algebraic group, the twisted gamma-filtration provides a useful tool for constructing torsion elements in gamma-rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the gamma-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. We use this torsion element to study algebras with orthogonal involutions.
%U http://arxiv.org/abs/1211.3443v1