TY - JOUR
T1 - Some non-finitely presented Lie algebras
AU - Abarbanel, Joseph
AU - Rosset, Shmuel
PY - 1998/5/15
Y1 - 1998/5/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0032523309&partnerID=8YFLogxK
U2 - 10.1016/S0022-4049(96)00155-7
DO - 10.1016/S0022-4049(96)00155-7
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AN - SCOPUS:0032523309
SN - 0022-4049
VL - 127
SP - 105
EP - 112
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 2
ER -