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Nilpotent orbits of sl(n,R) admit no Gibbs state
Jérémie Pierard de Maujouy, Guillaume Neuttiens
Gibbs states are probability distributions defined on Hamiltonian G-manifolds. They are parametrized by an open set of the Lie algebra g and arise as natural equilibrium states wit…
math.RT2026
Nilpotent orbits of classical Lie algebras stable under negation
Guillaume Neuttiens, Jérémie Pierard de Maujouy
Gibbs states are probability distributions defined on Hamiltonian G-manifolds that are naturally parametrized by elements of the Lie algebra g. In this paper, we focus on a specifi…