✦ LIBER ✦

Some non-finitely presented Lie algebras

✍ Scribed by Joseph Abarbanel; Shmuel Rosset

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 493 KB
Volume: 127
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00155-7

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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