The abelianization of the special derivation Lie algebra of free Lie algebras contains infinitely many linearly independent elements and non-trivial elements killed by Morita traces.
Morita; Abelian quotients of subgroups of the mapping class group of surfaces, Duke Mathe- matical Journal 70 (1993), 699–726
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On the abelianization of the special derivation Lie algebras of free Lie algebras
The abelianization of the special derivation Lie algebra of free Lie algebras contains infinitely many linearly independent elements and non-trivial elements killed by Morita traces.