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Epistemology - m a t h 4 w i s d o m - g m a i l
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Introduction E9F5FC Questions FFFFC0 Software |
See: Math notebook, Classical Lie groups, Classical Lie Root systems?, Intuiting classical root systems
The four classical root systems are as follows, where throughout, {$i>j$}:
The five exceptional root systems are described in Wikipedia's article on root systems.
Thus {$G_2$} is the disjoint union of two copies of {$A_2$}. Alternatively,
Thus {$F_4$} has a copy of {$B_4$} as a subset.
{$E_7$} and {$E_6$} are subsets of {$E_8$}.
Notes by Lecture 16 on Lie Algebras by Kevin McGerty. |

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