On the Multiplicities of a Motive

  title={On the Multiplicities of a Motive},
  author={Bruno Kahn},
We introduce the notion of multiplicities for an object M in a semi-simple rigid tensor category A, as a collection of central scalars which relate the categorical trace with the ring-theoretic trace. Multiplicities turn out to be rational integers in important cases, most notably when A is of " homological origin ". We show that this integrality condition… CONTINUE READING