$J$-invariant of linear algebraic groups of outer type

Nikita Geldhauser; Maksim Zhykhovich

$J$-invariant of linear algebraic groups of outer type

Algebraic Geometry 2025-10-29 v3

Authors: Nikita Geldhauser , Maksim Zhykhovich

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.

Keywords

j-invariant linear algebraic groups chow motives twisted flag varieties semisimple groups

Cite

@article{arxiv.2205.02884,
  title  = {$J$-invariant of linear algebraic groups of outer type},
  author = {Nikita Geldhauser and Maksim Zhykhovich},
  journal= {arXiv preprint arXiv:2205.02884},
  year   = {2025}
}

Comments

27 pages

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