Yanpeng Li

activity

20162025

most citedThe

U (n)

Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms

5 citations · 13 across the 9 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.SG2018★ 3 cited

Concentration of symplectic volumes on Poisson homogeneous spaces

Anton Alekseev, Benjamin Hoffman, Jeremy Lane +1

For a compact Poisson-Lie group $K$ , the homogeneous space $K / T$ carries a family of symplectic forms $ω_{ξ}^{s}$ , where $ξ \in t_{+}^{*}$ is in the positive Weyl chamber and $s…

math.RT2018

Langlands Duality and Poisson-Lie Duality via Cluster Theory and Tropicalization

Anton Alekseev, Arkady Berenstein, Benjamin Hoffman +1

Let $G$ be a connected semisimple Lie group. There are two natural duality constructions that assign to it the Langlands dual group $G^{\lor}$ and the Poisson-Lie dual group $G^{*}$ . T…

math.SG2018★ 5 cited

The $U (n)$ Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms

Anton Alekseev, Jeremy Lane, Yanpeng Li

We show that the Ginzburg-Weinstein diffeomorphism $u (n)^{*} \to U (n)^{*}$ of Alekseev-Meinrenken admits a scaling tropical limit on an open dense subset of $\mathfrak{u}(n)…

Concentration of symplectic volumes on Poisson homogeneous spaces

Langlands Duality and Poisson-Lie Duality via Cluster Theory and Tropicalization

The U(n) Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms

The $U (n)$ Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms