En (Lie algebra)
In mathematics, especially in Lie theory, En is the Kac–Moody algebra whose Dynkin diagram is a bifurcating graph with three branches of length 1, 2 and k, with k = n − 4.
| Finite | |
|---|---|
| E3=A2A1 | |
| E4=A4 | |
| E5=D5 | |
| E6 | |
| E7 | |
| E8 | |
| Affine (Extended) | |
| E9 or E8(1) or E8+ | |
| Hyperbolic (Over-extended) | |
| E10 or E8(1)^ or E8++ | |
| Lorentzian (Very-extended) | |
| E11 or E8+++ | |
| Kac–Moody | |
| E12 or E8++++ | |
| ... | |
In some older books and papers, E2 and E4 are used as names for G2 and F4.
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