Ind-varieties of generalized flags: a survey of results

Mikhail V. Ignatyev, Ivan Penkov

This is a review of results on the structure of the homogeneous ind-varieties $G/P$ of the ind-groups $G={\mathrm{GL}}_{\infty }(\mathbb{C})$, ${\mathrm{SL}}_{\infty }(\mathbb{C})$, $\ma…