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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
1
vote
Accepted
Hilbert Mumford Criterion
Here is my attempt for a $d$-dimensional $V$ over an algebraically closed field, like $\mathbb{C}$. Let's identify $\text{Sym}^2(V)$ with the space of all symmetric, contravariant, rank-$2$ tensors or …
6
votes
Origin of the name ''momentum map''
As alvarezpaiva mentioned, the name ''moment'' or ''momentum'' map comes from Physics and in particular from the Noether's theorem. Informally speaking, when there is a classical system that is invari …