DOI

Let be a split semisimple algebraic group over a field and let be an oriented cohomology theory in the Levine-Morel sense. We provide a uniform approach to the -motives of geometrically cellular smooth projective -varieties based on the Hopf algebra structure of. Using this approach, we provide various applications to the structure of motives of twisted flag varieties.

Original languageEnglish
Article numberPII S0010437X2100703X
Pages (from-to)963-996
Number of pages34
JournalCompositio Mathematica
Volume157
Issue number5
DOIs
StatePublished - 29 Apr 2021

    Scopus subject areas

  • Algebra and Number Theory

    Research areas

  • Hopf algebras, linear algebraic groups, motives, oriented cohomology theories, twisted flag varieties, REPRESENTATIONS, OPERATIONS, ORIENTED COHOMOLOGY, TORSION, J-INVARIANT, DECOMPOSITIONS, COMPACT, LIE-GROUPS

ID: 78274376