SOME NON-FINITELY PRESENTED LIE-ALGEBRAS

Authors
ABARBANEL J ROSSET S
Citation
J. Abarbanel et S. Rosset, SOME NON-FINITELY PRESENTED LIE-ALGEBRAS, Journal of pure and applied algebra, 127(2), 1998, pp. 105-112
Citations number
7
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
127
Issue
2
Year of publication
1998
Pages
105 - 112
Database
ISI
SICI code
0022-4049(1998)127:2<105:SNPL>2.0.ZU;2-T
Abstract
Let L be a free Lie algebra over a field km I a non-trivial proper ide al of L, n>1 an integer. The multiplicator (H-2(L/I-n,k) of L/I-n is n ot finitely generated, and so in particular, L/I-n is not finitely pre sented, even when L/I is finite dimensional. (C) 1998 Elsevier Science B.V. All rights reserved.