Some non-finitely presented Lie algebras

Joseph Abarbanel, Shmuel Rosset*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 H2(L/In,k) of L/In is not finitely generated, and so in particular, L/In is not finitely presented, even when L/I is finite dimensional.

Original languageEnglish
Pages (from-to)105-112
Number of pages8
JournalJournal of Pure and Applied Algebra
Issue number2
StatePublished - 15 May 1998


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