A New Approach to Defining Cochain Complexes for dual Leibniz algebra
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918259128795136 |
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| author | Alhussein, Hassan |
| author_facet | Alhussein, Hassan |
| contents | We construct a cochain map embedding the cohomology complex of any dual Leibniz algebra $B$ into the Lie algebra cochain complex of $\mathfrak{g} \otimes B$, where $\mathfrak{g}$ is a Leibniz algebra. This reduces the study of dual Leibniz cohomology to classical Lie algebra cohomology, yielding computational simplifications and new structural insights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A New Approach to Defining Cochain Complexes for dual Leibniz algebra Alhussein, Hassan Rings and Algebras We construct a cochain map embedding the cohomology complex of any dual Leibniz algebra $B$ into the Lie algebra cochain complex of $\mathfrak{g} \otimes B$, where $\mathfrak{g}$ is a Leibniz algebra. This reduces the study of dual Leibniz cohomology to classical Lie algebra cohomology, yielding computational simplifications and new structural insights. |
| title | A New Approach to Defining Cochain Complexes for dual Leibniz algebra |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2512.19319 |