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arXiv · 2608.12608

Nilpotent orbits of sl(n,R) admit no Gibbs state

Jérémie Pierard de Maujouy·Guillaume Neuttiens
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Abstract

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 with regard to the action of G on the system. In this paper, we focus on nilpotent orbits of SL(n,R). We show that for n>2, those orbits do not admit any Gibbs state.

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BibTeXRIS

Jérémie Pierard de Maujouy, Guillaume Neuttiens. 2026-08-12. Nilpotent orbits of sl(n,R) admit no Gibbs state. https://arxiv.org/abs/2608.12608

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