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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0353-2,
author = {Caroline Junkins},
title = {Twisted gamma filtration and algebras with orthogonal involution},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {421-428},
zbl = {1297.14009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0353-2}
}
Caroline Junkins. Twisted gamma filtration and algebras with orthogonal involution. Open Mathematics, Tome 12 (2014) pp. 421-428. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0353-2/
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