From pentacyclic coordinates to chain geometries, and back

Abstract

Starting with the classical circle geometry of Sophus Lie, we give a survey about some of the developments in the area of chain geometries during the last three decades.

References in corpus (10)

• Hjelmslev Geometry of Mutually Unbiased Bases
• Projective Representations I. Projective lines over rings
• On bijections that preserve complementarity of subspaces
• The Connected Components of the Projective Line over a Ring
• Divisible Designs, Laguerre Geometry, and Beyond
• A Classification of the Projective Lines over Small Rings
• Radical parallelism on projective lines and non-linear models of affine spaces
• A Classification of the Projective Lines over Small Rings II. Non-Commutative Case
• Some Constructions of Divisible Designs from Laguerre Geometries
• Divisible designs from twisted dual numbers

Cited by in corpus (3)

• Projective Ring Line Encompassing Two-Qubits
• Divisible Designs, Laguerre Geometry, and Beyond
• Projective Ring Lines and Their Generalisations