Caroline Junkins: Twisted gamma filtration and algebras with orthogonal involution

cjunk084@uottawa.ca

Submission: 2012, Nov 14

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.

2010 Mathematics Subject Classification: 20G15; 14C25; 14L30; 16W10

Keywords and Phrases: linear algebraic group, Tits algebra, gamma filtration, Grothendieck group K_0, torsion, algebras with orthogonal involution

Full text: dvi.gz 1 k, dvi 66 k, ps.gz 1 k, pdf.gz 1 k, pdf 1 k.


Server Home Page