Koszul lecture related to geometric and analytic mechanics, Souriau's Lie group thermodynamics and information geometry

DOI10.1007/s41884-020-00039-xzbMath1473.53001OpenAlexW3118455893WikidataQ115371039 ScholiaQ115371039MaRDI QIDQ2046678

Frédéric Barbaresco

Publication date: 26 August 2021

Published in: Information Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41884-020-00039-x

zbMATH Keywords

Koszul formsaffine representation of Lie algebra and Lie groupLie groups thermodynamics

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to classical thermodynamics (80-02) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Related Items (5)

Polysymplectic Souriau Lie group thermodynamics and the geometric structure of its coadjoint orbits ⋮ Polysymplectic Souriau Lie group thermodynamics and entropy geometric structure as Casimir invariant function ⋮ Special issue ``Affine differential geometry and Hesse geometry: a tribute and memorial to Jean-Louis Koszul ⋮ Jean-Marie Souriau’s Symplectic Model of Statistical Physics: Seminal Papers on Lie Groups Thermodynamics - Quod Erat Demonstrandum ⋮ Archetypal model of entropy by Poisson cohomology as invariant Casimir function in coadjoint representation and geometric Fourier heat equation

Cites Work

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• Selected Papers of J L Koszul
• Geometry of Hessian Structures
• Domaines bornés homogènes et orbites de groupes de transformations affines
• Homologie et cohomologie des algèbres de Lie

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