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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2511.16866 |
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| _version_ | 1866908977156063232 |
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| author | Enomoto, Naoya Satoh, Takao |
| author_facet | Enomoto, Naoya Satoh, Takao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16866 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the abelianization of the special derivation Lie algebras of free Lie algebras Enomoto, Naoya Satoh, Takao Rings and Algebras Algebraic Topology 17B40, 20F14, 20C30, 17B56 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. |
| title | On the abelianization of the special derivation Lie algebras of free Lie algebras |
| topic | Rings and Algebras Algebraic Topology 17B40, 20F14, 20C30, 17B56 |
| url | https://arxiv.org/abs/2511.16866 |