Equivariant $K$-theory of quaternionic flag manifolds

Augustin-Liviu Mare, Matthieu Willems

We consider the manifold $F{l}_n(\mathbb{H})=Sp(n)/Sp(1{)}^n$ of all complete flags in ${\mathbb{H}}^n$, where $\mathbb{H}$ is the skew-field of quaternions. We study its equivariant $K$…