Twisted gamma filtration and algebras with orthogonal involution

• Autorzy: Caroline Junkins
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Linear algebraic group; Tits algebra; Gamma filtration; Grothendieck group; Torsion; Algebras with orthogonal involution

Kategorie tematyczne

• 16W10: Rings with involution; Lie, Jordan and other nonassociative structures
• 14L30: Group actions on varieties or schemes (quotients)
• 14C25: Algebraic cycles
• 20G15: Linear algebraic groups over arbitrary fields

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 3
• Strony: 421-428

Daty

wydano

2014-03-01

online

2013-12-21

Twórcy

autor

Caroline Junkins

• University of Ottawa

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0353-2