Timeline for Closed subgroups of a $p$-adic algebraic group
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Sep 27, 2012 at 21:28 | answer | added | Xandi Tuni | timeline score: 5 | |
| Sep 27, 2012 at 21:27 | comment | added | grp | Your statement about exp's is false: p-adic exp has severe convergence problems even for GL$_n$. Read Serre's book "Lie groups and Lie algebras", in which he develops a good Lie correspondence over any non-archimedean field of characteristic 0 from scratch (and carries along the archimedean case, clarifying the special role of $\mathbf{Q}_p$ much as $\mathbf{R}$ has "better" features than $\mathbf{C}$ for a Lie correspondence, due to the density of $\mathbf{Q}$ in $\mathbf{R}$). Also see Bourbaki Lie Ch. III. You cannot expect to nail down exactly subgroups that are exp of their Lie algebra. | |
| Sep 27, 2012 at 19:37 | history | asked | Justin Campbell | CC BY-SA 3.0 |