Timeline for Characterising the adjoint representation of SU(N)
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 21, 2014 at 10:01 | comment | added | Ryan | Thanks, I will have a look at this reference. However my initial impression is that this is not quite the characterisation I am looking for - I will investigate none the less! | |
| Aug 21, 2014 at 9:52 | comment | added | Peter Crooks | The usual Hermitian inner product on $\mathbb{C}^n$ yields a Riemannian metric on $\mathbb{P}^{n-1}$. A holomorphic isometry of $\mathbb{P}^{n-1}$ is a biholomorphism of $\mathbb{P}^{n-1}$ with itself that preserves this metric. One quick reference for the group, its action on $\mathbb{P}^{n-1}$, and the metric is Einstein Manifolds by Arthur Besse, pages 178-181. | |
| Aug 21, 2014 at 9:39 | comment | added | Ryan | Thank you - do you know of a good reference I could use to read up on this group and its action? In particular I am not sure of the definition of a holomorphic isometry? | |
| Aug 21, 2014 at 9:32 | history | answered | Peter Crooks | CC BY-SA 3.0 |