3 papers
math.RT2019
Quasi-Invariants in Characteristic and Twisted Quasi-Invariants
Michael Ren, Xiaomeng Xu
The spaces of quasi-invariant polynomials were introduced by Chalykh and Veselov [Comm. Math. Phys. 126 (1990), 597-611]. Their Hilbert series over fields of characteristic 0 were…
math-ph2018
Stokes phenomenon and Yang-Baxter equations
Xiaomeng Xu
We describe the monodromy of dynamical Knizhnik-Zamolodchikov equations via Stokes phenomenon. It defines a family of braid groups representations by certain Stokes matrices. In pa…
math-ph2017
Stokes phenomenon, Gelfand-Zeitlin systems and relative Ginzburg-Weinstein linearization
Xiaomeng Xu
In 2007, Alekseev-Meinrenken proved that there exists a Ginzburg-Weinstein diffeomorphism from the dual Lie algebra to the dual Poisson Lie group compatible…