21 citations · 106 across the 28 of their papers we have counts for
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math.RT2019
Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces
Jiang-Hua Lu, Shizhuo Yu
Let be a connected and simply connected complex semisimple Lie group. For a collection of homogeneous -spaces , we construct a finite atlas ${\mathcal{A}}_{\rm BS}(G/Q)…
math.SG2019★ 7 cited
Dirac geometry and integration of Poisson homogeneous spaces
Henrique Bursztyn, David Iglesias-Ponte, Jiang-Hua Lu
Using tools from Dirac geometry and through an explicit construction, we show that every Poisson homogeneous space of any Poisson Lie group admits an integration to a symplectic gr…