Geodesic
Relative Equivariant Motives and Modules
Canadian journal of mathematics, Tome 73 (2021) no. 1, pp. 131-159

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DOI

We introduce and study various categories of (equivariant) motives of (versal) flag varieties. We relate these categories with certain categories of parabolic (Demazure) modules. We show that the motivic decomposition type of a versal flag variety depends on the direct sum decomposition type of the parabolic module. To do this we use localization techniques of Kostant and Kumar in the context of generalized oriented cohomology as well as the Rost nilpotence principle for algebraic cobordism and its generic version. As an application, we obtain new proofs and examples of indecomposable Chow motives of versal flag varieties.
DOI : 10.4153/S0008414X19000543
Mots-clés : linear algebraic group, torsor, flag variety, equivariant oriented cohomology, motivic decomposition, Hecke algebra 
Calmès, Baptiste; Neshitov, Alexander; Zainoulline, Kirill. Relative Equivariant Motives and Modules. Canadian journal of mathematics, Tome 73 (2021) no. 1, pp. 131-159. doi: 10.4153/S0008414X19000543
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     year = {2021},
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