The Rost invariant is an important concept in the field of algebraic groups, particularly in relation to the study of quadratic forms and the theory of \(K\)-theory. It is named after the mathematician Ulrich Rost. The Rost invariant is defined in the context of central simple algebras, specifically those over a field. More concretely, it deals with the classification of certain types of quadratic forms and their behavior under various operations.
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