Twisted gamma filtration and algebras with orthogonal involution
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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.
KeywordsLinear algebraic group Tits algebra Gamma filtration Grothendieck group Torsion Algebras with orthogonal involution
MSC20G15 14C25 14L30 16W10
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