Peter Crooks

collaborators

Showing math.SGShow all

2 papers · 1 filter

math.SG2023

The double Gelfand-Cetlin system, invariance of polarization, and the Peter-Weyl theorem

Peter Crooks, Jonathan Weitsman

The bundle map $T^{*} U (n) ⟶ U (n)$ provides a real polarization of the cotangent bundle $T^{*} U (n)$ , a…

math.SG2023

Abelianization and the Duistermaat-Heckman theorem

Peter Crooks, Jonathan Weitsman

Fix a compact connected Lie group $G$ with Lie algebra $g$ , as well as a strong Gelfand-Cetlin datum on $g^{*}$ . Let us also fix a connected symplectic manifold…