12 citations · 29 across the 10 of their papers we have counts for
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math.SG2020
Stratified Gradient Hamiltonian Vector Fields and Collective Integrable Systems
Benjamin Hoffman, Jeremy Lane
We construct completely integrable systems on the dual of the Lie algebra of any compact Lie group with respect to the standard Lie-Poisson structure. These systems generalize…
math.SG2020
Action-angle coordinates on coadjoint orbits and multiplicity free spaces from partial tropicalization
Anton Alekseev, Benjamin Hoffman, Jeremy Lane +1
Coadjoint orbits and multiplicity free spaces of compact Lie groups are important examples of symplectic manifolds with Hamiltonian groups actions. Constructing action-angle variab…
math.SG2020
Local normal forms for multiplicity free actions on coadjoint orbits
Jeremy Lane
Actions of on coadjoint orbits via embeddings of into are an important family of examples of multiplicity free spaces. They are related to Gelfand-Z…