Homomorphisms of the alternating group A_5 into a reductive group

Details Homomorphisms of the alternating group A_5 into a reductive group Homomorphisms of the alternating group A_5 into a reductive group

2002-02-12

arxiv.org/abs/math/0202111v1

Mathematics

Representation Theory

22 pages

Scientific paper

We show that any two homomorphisms of the alternating group A_5 into E_8
(over the complex numbers) whose images has finite centralizers are conjugate
under E_8. This, in conjunction with earlier work of Frey, completes the
classification up to G-conjugacy of homomorphisms of A_5 into a simple adjoint
algebraic group over the complex numbers.

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