All Questions

This is a question on certain irreducible real representations of the unitary group. My main reference is Salamon's book "Riemannian geometry and holonomy groups". The unitary group $\mathrm ...

Given that $U(n)$ is a smooth manifold I would like to know if there is a way of building a representation of $\text{Diff}(U(n))$ once you pick a particular (finite dimensional) representation of $U(n)...

We try to motivate our question. We have a certain logical/operational structure that has an emergent physical interpretation. We are giving this structure a geometric setting via quasi-isometries. ...