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Some finite varieties of Lie algebras

โœ Scribed by Kay Moneyhun; Ernest Stitzinger


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
294 KB
Volume
143
Category
Article
ISSN
0021-8693

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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.