Abstract

The main result of the paper is a Borel type description of the \$Sp(1)ˆn\$-equivariant cohomology ring of the manifold \$Fl\_n(\textbackslashmathbbH)\$ of all complete flags in \$\textbackslashmathbbHˆn\$. To prove this, we obtain a Goresky-Kottwitz-MacPherson type description of that ring.

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