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J-INVARIANT OF LINEAR ALGEBRAIC GROUPS OF OUTER TYPE

Part of: Cycles and subschemes Linear algebraic groups and related topics

Published online by Cambridge University Press:  04 December 2025

Nikita Geldhauser Open the ORCID record for Nikita Geldhauser [Opens in a new window]  and
Maksim Zhykhovich
Nikita Geldhauser*
Affiliation:
LMU Munich, Germany
Maksim Zhykhovich
Affiliation:
LMU Munich, Germany (zhykhovich@math.lmu.de)
*
(geldhauser@math.lmu.de)
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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

Linear algebraic groupstwisted flag varietiesmotives

MSC classification

Primary: 20G15: Linear algebraic groups over arbitrary fields
Secondary: 14C15: (Equivariant) Chow groups and rings; motives

Information

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , First View , pp. 1 - 28
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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Footnotes

The work of the authors is supported by the DFG research grants SE 1721/4-1 and ZH 918/2-1.

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