= Group of Lie type
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= Groups of Lie type
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In the <classification of finite simple groups>, groups of Lie type are a set of infinite families of simple lie groups. These are the other infinite families besides te <cyclic groups> and <alternating groups>.
A decent list at: https://en.wikipedia.org/wiki/List_of_finite_simple_groups[], https://en.wikipedia.org/wiki/Group_of_Lie_type[] is just too unclear. The groups of Lie type can be subdivided into:
* <Chevalley groups>{child}
* TODO the rest
The first in this family discovered were a subset of the <Chevalley groups A_n(q)> by <Galois>: <PSL(2, p)>, so it might be a good first one to try and understand what it looks like.
TODO understand intuitively why they are called of Lie type. Their names $A_n$, $B_n$ seem to correspond to the members of the <classification of simple Lie groups> which are also named like that.
But they are of course related to <Lie groups>, and as suggested at <video Yang-Mills 1 by David Metzler (2011)> part 2, the continuity actually simplifies things.