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math.DGNov 2, 2023
authors
  • Florio M. Ciaglia
  • Shuhan Jiang
  • Jürgen Jost
  • Lorenz Schwachhöfer
institutions
  • Max Planck Institute for Mathematics
  • Max Planck Institute for Mathematics in the Sciences
  • TU Dortmund University
  • Universidad Carlos III de Madrid
arXiv abstractPDF
paper

A coadjoint orbit-like construction for Jordan superalgebras

arXiv:2311.01333 · doi:10.1016/j.geomphys.2024.105404

Abstract

We investigate the canonical pseudo-Riemannian metrics associated with Jordan-analogues of the coadjoint orbits for pseudo-Euclidean Jordan superalgebras.

arXiv comment20 pages, 1 figure

References in corpus (7)

  • Reduction of Lie-Jordan Banach algebras and quantum states
  • Unitary representations of nilpotent super Lie groups
  • Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
  • On algebraic supergroups, coadjoint orbits and their deformations
  • On structure and TKK algebras for Jordan superalgebras
  • Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction
  • Jordan meets Freudenthal. A Black Hole Exceptional Story
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