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Results tagged with lie-groups
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user 52824
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
3
votes
Accepted
on lifting extensions
There is always the uninteresting example $\widetilde{G} = G \times Z$ relative to a choice of splitting of $\widetilde{T}$ as a central extension of $T$ by $Z$ (as may be chosen since you assumed the …
- 1,285
6
votes
Accepted
Orbits of an action of maximal compact subgroups of p-adic orthogonal groups
Let's first review the situation over $\mathbf{R}$, as it gives an excuse to recall Witt's extension theorem that we will use in the non-archimedean case and to see that we had better restrict to dime …
- 1,285
18
votes
Accepted
Differences in philosophy between Lie Groups and Differential Galois Theory
[This is really an extended comment on the remarks of Siegel and Khavkine, but too long for a comment box.] There is an intermediate topic which straddles the world of algebra (where differential Gal …