Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces

Jiang-Hua Lu, Shizhuo Yu

Let $G$ be a connected and simply connected complex semisimple Lie group. For a collection of homogeneous $G$-spaces $G/Q$, we construct a finite atlas ${\mathcal{A}}_{\rm BS}(G/Q)…