Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups

Bieliavsky, Pierre;Pierard de Maujouy, Jérémie;Dendoncker, Valentin;Neuttiens, Guillaume
(2023) published

Files

No attached file found for this publication.

Details

Authors
Abstract
In this short note, we prove that the Gibbs cone of generalized temperatures associated to a minimal coadjoint orbit of a simple Lie group G of Kähler type is not empty. We study the Fisher-Rao metric in the particular case of SL(2,R) . We prove that, in this case, the Gibbs cone equipped with the Fisher-Rao metric is a Riemannian symmetric space.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Bieliavsky, P., Pierard de Maujouy, J., Dendoncker, V., & Neuttiens, G. (2023). Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups. Springer. https://hdl.handle.net/2078.5/277138