Timeline for What is the difference between p-adic Lie groups and linear algebraic groups over p-adic fields?
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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Jan 30, 2015 at 15:37 | vote | accept | m07kl | ||
Jan 30, 2015 at 15:26 | vote | accept | m07kl | ||
Jan 30, 2015 at 15:37 | |||||
Jan 30, 2015 at 15:23 | vote | accept | m07kl | ||
Jan 30, 2015 at 15:23 | |||||
Jan 30, 2015 at 12:02 | comment | added | Venkataramana | That is certainly true: algebraic $\implies$ analytic. There are lecture notes by Serre on $p$-adic groups which deal with these things. I don't have the reference at hand, but it is available on Amazon. | |
Jan 30, 2015 at 11:59 | comment | added | m07kl | But I ask the opposite direction. Is algebraic group over p-adic number a p-adic Lie group? | |
Jan 30, 2015 at 11:52 | comment | added | Venkataramana | The argument above shows that $p^2{\mathbb Z}_p$ is a $p$-adic analytic subgroup of ${\mathbb Z}_p\times {\mathbb Z}_p^*$ but is not an algebraic subgroup | |
Jan 30, 2015 at 11:45 | comment | added | m07kl | I don't really understand your answer. Can you explain more? | |
Jan 30, 2015 at 3:34 | history | answered | Venkataramana | CC BY-SA 3.0 |