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Équivalence motivique des groupes algébriques semisimples

Équivalence motivique des groupes algébriques semisimples

We prove that the standard motives of a semisimple algebraic group $G$ with coefficients in a field of order $p$ are determined by the upper motives of the group $G$ . As a consequence of this result, we obtain a partial version of the motivic rigidity conjecture of special linear …