Papers Published
Author's Comments:
This is the text of a lecture that I gave at the Institut
d'Élie
Cartan in Nancy, France in June 1998 as part of their
Journées Élie
Cartan.
The theme is that Cartan's understanding of the role of duality in the homogeneous spaces of the rank 2 Lie groups had a profound effect on his development of the method of equivalence, connections, and path geometry.