Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
March 29, 2026Journal of Lie theoryOpen Access

Jordan Geometries -- an Approach Via Inversions

View Full Paper
Ask AI
Bookmark
Share

Authors

WBW. Bertram

Discussion

Loading...

Member takes

Overview

This research explores connections between Jordan geometries and symmetric spaces, suggesting innovative algebraic methods.

Key Points

  • The aim is to establish a relationship between Jordan geometries and symmetric spaces using inversive actions.
  • Defined Jordan geometries with point reflections based on point triples.
  • Introduced the concept of inversive action of torsors and symmetric spaces.
  • Utilized an algebraic differential calculus to attach tangent objects like Jordan pairs.
  • Demonstrated how Jordan geometries correspond to certain symmetric spaces.
  • Illustrated that the approach is applicable over base rings where 2 is not invertible, such as integers.
  • Highlighted a clear relationship with the theory of associative geometries.

Cite This Study

W. Bertram (2014) studied this question.

synapsesocial.com/papers/69c8c15ade0f0f753b39bc10https://doi.org/10.5802/jolt.820
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Jordan homomorphisms and T‐ideals2026
  2. 2From Exceptional Jordan Geometry to Clifford Algebra: An Immersive Bridge via the Fano Plane2026
  3. 3Jordan and isometric cone automorphisms in Euclidean Jordan algebras2025
  4. 4The n-point exceptional universe2025
  5. 5A moment map for the variety of Jordan algebras2024 · 1 citations