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Homomorphisms of the alternating group A_5 into a reductive group

Representation Theory 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/0202111,
  title  = {Homomorphisms of the alternating group A_5 into a reductive group},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:math/0202111},
  year   = {2007}
}

Comments

22 pages

R2 v1 2026-07-22T16:43:14.855Z