<i>J</i> -INVARIANT OF LINEAR ALGEBRAIC GROUPS OF OUTER TYPE

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.

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Publication Details

Journal
Journal of the Institute of Mathematics of Jussieu
Published
2025-12-04
DOI
https://doi.org/10.1017/s1474748025101412
Primary Topic
Advanced Combinatorial Mathematics
Type
article
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article

J -INVARIANT OF LINEAR ALGEBRAIC GROUPS OF OUTER TYPE

Nikita Semenov, Maksim Zhykhovich
Journal of the Institute of Mathematics of Jussieu
Advanced Combinatorial Mathematics
article

J -INVARIANT OF LINEAR ALGEBRAIC GROUPS OF OUTER TYPE

Nikita Semenov, Maksim Zhykhovich
article en

Abstract

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.

Journal of the Institute of Mathematics of JussieuVol. 25(2)
LMU Klinikum (DE), Ludwig-Maximilians-Universität München (DE)
Openalex Percentile: Top 54%
Advanced Combinatorial Mathematics
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