3 papers
math.RA2026
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…
math.QA2018
Quantization of Poisson CGL extensions
Yipeng Mi
CGL extensions, named after G. Cauchon, K. Goodearl, and E. Letzter, are a special class of noncommutative algebras that are iterated Ore extensions of associative algebras with co…
math.RT2017
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…