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Garibaldi, S.; Petrov, V.; Semenov, N. (2016): Shells of twisted flag varieties and the Rost invariant. In: Duke Mathematical Journal, Vol. 165, No. 2: pp. 285-339
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We introduce two new general methods to compute the Chow motives of twisted flag varieties and settle a 20-year-old conjecture of Markus Rost about the Rost invariant for groups of type E-7.