EQUIVARIANT CHOW RING AND CHERN CLASSES OF WONDERFUL SYMMETRIC VARIETIES OF MINIMAL RANK

We describe the equivariant Chow ring of the wonderful compactification X of a symmetric space of minimal rank, via restriction to the associated toric variety Y. Also, we show that the restrictions to Y of the tangent bundle T-X and its logarithmic analogue S-X decompose into a direct sum of line bundles. This yields closed formulas for the equivariant Chern classes of T-X and S-X, and, in turn, for the Chern classes of reductive groups considered by Kiritchenko.