### Riemann-Roch for tensor powers, by Bernhard Koeck

Mapping a locally free module to its l-th tensor power gives rise to a
natural map from the Grothendieck group of all locally free modules to
the Grothendieck group of all locally free representations of the l-th
symmetric group. In this paper, we prove some formulas of Riemann-Roch
type for the behaviour of this tensor power operation with respect to
the push-forward homomorphism associated with a projective morphism
between schemes. We furthermore establish analogous formulas for
higher K-groups.

Bernhard Koeck <Bernhard.Koeck@math.uni-karlsruhe.de>