Twisted gamma filtration and algebras with orthogonal involution
Algebraic Geometry
2012-11-16 v1
Abstract
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.
Cite
@article{arxiv.1211.3443,
title = {Twisted gamma filtration and algebras with orthogonal involution},
author = {Caroline Junkins},
journal= {arXiv preprint arXiv:1211.3443},
year = {2012}
}