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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

6 votes

Why, conceptually, does the torus normalizer in $G_2$ split?

While the following might not be conceptual, but at least it's simple if one knows group cohomology. The obstruction to splitting lives in $H^2(W;T)$, and we have $H^n(W;T)=0$ for all $n\geq 0$! One w …
Kasper Andersen's user avatar
12 votes
Accepted

Elementary $p$-subgroups of a compact Lie group

This is a topic with a long history going (at least) back to Borel, Serre, Steinberg and others. The existence of non-toral elementary abelian $p$-subgroups (i.e. subgroups not contained in a maximal …
Kasper Andersen's user avatar