Orbit duality in ind-varieties of maximal generalized flags
Orbit duality in ind-varieties of maximal generalized flags
We extend Matsuki duality to arbitrary ind-varieties of maximal generalized flags, in other words, to any homogeneous ind-variety $\mathbf {G}/\mathbf {B}$ for a classical ind-group $\mathbf {G}$ and a splitting Borel ind-subgroup $\mathbf {B}\subset \mathbf {G}$. As a first step, we present an explicit combinatorial version of Matsuki duality in …