21 citations · 106 across the 28 of their papers we have counts for
28 papers
Mutation matrices from Poisson CGL extensions
Zihang Liu, Jiang-Hua Lu, Yipeng Mi
Symmetric Poisson CGL extensions form a particular class of polynomial Poisson algebras that are shown by K. Goodearl and M. Yakimov to admit compatible cluster structures. In this…
Configuration Poisson groupoids of flags
Jiang-Hua Lu, Victor Mouquin, Shizhuo Yu
Let be a connected complex semi-simple Lie group and its flag variety. For every positive integer , we introduce a Poisson groupoid over , c…
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)…
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…
Generalized Bruhat Cells and Completeness of Hamiltonian Flows of Kogan-Zelevinsky Integrable Systems
Jiang-Hua Lu, Yipeng Mi
Let be any connected and simply connected complex semisimple Lie group, equipped with a standard holomorphic multiplicative Poisson structure. We show that the Hamiltonian flow…
Double Bruhat cells and symplectic groupoids
Jiang-Hua Lu, Victor Mouquin
Let be a connected complex semisimple Lie group, equipped with a standard multiplicative Poisson structure determined by a pair of opposite Borel subgroups $(B, B_…