# Tag Info

For the affine case for coadjoint orbits of Souriau, see Jean-Louis Koszul book "Introduction to symplectic geometry" in chapter 4 and 5 where it is explained the Souriau cocycle in cas of ...
Accepted

Put $T = G_r$. We may, and do, assume that $\beta = r$, and simply describe a $T$-invariant complex structure on $\operatorname T_{\mathcal O_r}(r)$. Instead of having one 1-dimensional subspace of \$\...