Some non-finitely presented Lie algebras

Joseph Abarbanel, Shmuel Rosset

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume127
Issue number2
DOIs
StatePublished - 15 May 1998

Fingerprint

Dive into the research topics of 'Some non-finitely presented Lie algebras'. Together they form a unique fingerprint.

Cite this