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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)
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