## A List of Index Reduction Formulas

by A. S. Merkurjev, I. A. Panin, and A. R. Wadsworth

This is preprint 94 - 079 of the Universitaet Bielefeld
preprint series (Preprintreihe Sonderforschungsbereich 343
"Diskrete Strukturen in der Mathematik").
In this preprint, we give without proofs a list of
the index reduction formulas for all the projective
varieties X such that there is an action of a simple
classical group G on X over the ground field F, such
that the action becomes transitive over the separable
closure of F. We cover groups of both inner and outer
type. Proofs of the formulas can be found in the preprints
Index Reduction Formulas for Twisted Flag Varieties I, II,
by the same authors, which are available here and from
the K-theory Archive.

A. S. Merkurjev /
merkurev@pdmi.ras.ru
I. A. Panin /
panin@pdmi.ras.ru
Adrian Wadsworth /
arwadsworth@ucsd.edu