Timeline for Looking for interesting actions that are not representations
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Feb 22, 2011 at 19:28 | comment | added | Marek | Good point. Although symmetries of a (pseudo)Riemannian manifold are a daily bread of a theoretical physicist :) But I actually never studied homogeneous spaces and I guess I should fix that. | |
| Feb 22, 2011 at 19:07 | comment | added | Dick Palais | @Mariano: In fact, Lie studied germs of analytic groups acting on germs of analytic manifolds---the concept of a global manifold and global group manifold did not exist in the middle and late 1800s when he did his pioneering work. And yes, you are correct that the "extra structure" that Lie dealt in his ``Geometrie Der Ber\"uhrungs Transformationen'' with was primarily differential equations. | |
| Feb 22, 2011 at 18:58 | comment | added | Mariano Suárez-Álvarez | What that his motivation? I would hav imagined that looking at those groups was a way of constructing examples, and that he was more interested in symmetries of PDEs and other such things (which have much less structure, in a way...) | |
| Feb 22, 2011 at 18:50 | history | answered | Dick Palais | CC BY-SA 2.5 |