Some non-finitely presented Lie Algebras

Details Some non-finitely presented Lie Algebras Some non-finitely presented Lie Algebras

1996-11-27

arxiv.org/abs/math/9611204v1

Mathematics

Group Theory

LaTeX file, 10 pages. To appear in J. Pure and Appl. Alg

Scientific paper

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 $H_2(L/I^n,k)$ of $L/I^n$ is
not finitely generated, and so in particular, $L/I^n$ is not finitely
presented, even when $L/I$ is finite dimensional.

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