J-invariant of linear algebraic groups of outer type

2022/05/05 by Geldhauser, Nikita, Maksim Zhykhovich, Zhykhovich, Maksim
Mathematics · #14C15 #20G15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2205.02884

openalex publication_date 2022/05/05 · openalex created_date 2022/05/11 · openalex updated_date 2026/07/28

Abstract

We extend the notion of the J-invariant to arbitrary semisimple linear algebraic groups and provide complete decompositions for the normed Chow motives of all generically quasi-split twisted flag varieties. Besides, we establish some combinatorial patterns for normed Chow groups and motives and provide some explicit formulae for values of the J-invariant.

Related

• The J-invariant and Tits algebras for groups of inner type E6
• The J-invariant over splitting fields of Tits algebras
• Equivalence motivique des groupes algebriques semisimples
• Upper motives of outer algebraic groups
• Higher Tate traces of Chow motives