On the abelianization of the special derivation Lie algebras of free Lie algebras
arXiv:2511.16866
Abstract
In this paper, we show that there are infinitely many linearly independent elements in the abelianization of the Lie algebra of special derivations of a free Lie algebra by using the Morita traces. Furthermore, we show that the abelianization contains non-trivial elements which are killed by the Morita traces.
30 pages