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Some examples of locally finite simple Lie algebras

โœ Scribed by Y. Bahturin; H. Strade


Publisher
Springer
Year
1995
Tongue
English
Weight
228 KB
Volume
65
Category
Article
ISSN
0003-889X

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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.