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arXiv · 2511.16866

On the abelianization of the special derivation Lie algebras of free Lie algebras

Naoya Enomoto·Takao Satoh
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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.

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Naoya Enomoto, Takao Satoh. 2025-11-21. On the abelianization of the special derivation Lie algebras of free Lie algebras. https://arxiv.org/abs/2511.16866

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