Timeline for Infinite-dimensional classical Lie algebras
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 21, 2018 at 14:27 | comment | added | LSpice | Is there any reason to think that there will be a sensible notion of Lie algebra for an arbitrary group? The automorphism groups are no longer differentiable manifolds, at least not modelled on finite-dimensional Euclidean spaces, nor even (as far as I can tell) on possibly-infinite-dimensional Banach spaces. | |
| Feb 18, 2018 at 18:12 | comment | added | Qfwfq | I took the liberty to edit the question because, as it standed, it seemed to suggest that $F^\infty$ is Hilbert space (which is not). So, a priori, we're actually talking about three groups here, not two: $GL(\infty)=\lim_n GL(n)$, $GL(F^\infty)$, and $\mathrm{Aut}_{top}(\ell^2)$. (And same for the "orthogonal" versions). | |
| Feb 18, 2018 at 18:08 | history | edited | Qfwfq | CC BY-SA 3.0 |
added 172 characters in body
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| Feb 18, 2018 at 14:32 | answer | added | Thomas Rot | timeline score: 3 | |
| Feb 18, 2018 at 13:06 | history | asked | FusRoDah | CC BY-SA 3.0 |