Homomorphisms of the alternating group A5 into a reductive group
G. Lusztig
Abstract
We show that any two homomorphisms of the alternating group A5 into E8 (over the complex numbers) whose images has finite centralizers are conjugate under E8. This, in conjunction with earlier work of Frey, completes the classification up to G-conjugacy of homomorphisms of A5 into a simple adjoint algebraic group over the complex numbers.
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