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added statement of and references for some of the homotopy groups of $E_8$ to E8
Curious that the extra information on E8 focuses on its homotopy groups, for E7 it’s its two smallest representations, and for E6 it’s the relationship of a split form with $SL(3, \mathbb{O})$.
Is there no such interesting decomposition of the 248-dim adjoint rep of $E_8$ as the decomposition of the 56-dim of $E_7$?
“Focus” is a big word for what is a sporadic jotting down of random facts that I happened to feel like making a stubby note of. Some day somebody should invest some energy into these entries. Until then their choice of information is not taken to be an indication of its relevance.
started a Properties section “Subgroups” (here), but so far just with a quick pointer to SemiSpin(16)
Used unicode subscripts for indices of exceptional Lie groups including title and links. When not linked, usual formulas are used. See discussion here. Links will be re-checked after all titles are changed. (Removed two redirects for “E8” from the top and added one for “E8” at the bottom of the page.)
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