| Finite | |
|---|---|
| E3=A2A1 |     
|
| E4=A4 | 
|
| E5=D5 | 
|
| E6 | 
|
| E7 | 
|
| E8 | 
|
| Affine (Extended) | |
| E9 or E(1) 8 or E+ 8 |
|
| Hyperbolic (Over-extended) | |
| E10 or E(1)^ 8 or E++ 8 |
|
| Lorentzian (Very-extended) | |
| E11 or E+++ 8 |
|
| Kac–Moody | |
| E12 or E++++ 8 |
|
| ... | |
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.
In some older books and papers, E2 and E4 are used as names for G2 and F4.