Some non-finitely presented Lie algebras
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Joseph Abarbanel; Shmuel Rosset
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Article
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1998
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Elsevier Science
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English
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Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer. ## The multiplicator Hz(L/I",R) of L/I" is not finitely generated, and so in particular, L/Z" is not finitely presented, even when L/I is finite dimensional.