Images of Lie polynomials on simple Chevalley algebras over finite fields of very good characteristic are precisely automorphism-invariant subsets containing zero, with explicit constructions for sl_2(q).
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Images of Lie Polynomials on simple Lie algebras
Images of Lie polynomials on simple Chevalley algebras over finite fields of very good characteristic are precisely automorphism-invariant subsets containing zero, with explicit constructions for sl_2(q).