An embedding theorem for Nijenhuis Lie algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917139386990592 |
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| author | Najafizadeh, Alireza Zargeh, Chia |
| author_facet | Najafizadeh, Alireza Zargeh, Chia |
| contents | This paper introduces the Higman-Neumann-Neumann extension (HNN extension; for short) for Nijenhuis Lie algebras and provides an embedding theorem. To this end, we employ the theory of Gröbner-Shirshov basis for Lie Ω-algebras in order to find a normal form for our construction. Then we show that every Nijenhuis Lie algebra embeds into its HNN-extension. Nijenhuis Lie algebras, Gröbner-Shirshov basis, HNN extension |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10743 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An embedding theorem for Nijenhuis Lie algebras Najafizadeh, Alireza Zargeh, Chia Rings and Algebras 13P10, 17A50, 16Z10 This paper introduces the Higman-Neumann-Neumann extension (HNN extension; for short) for Nijenhuis Lie algebras and provides an embedding theorem. To this end, we employ the theory of Gröbner-Shirshov basis for Lie Ω-algebras in order to find a normal form for our construction. Then we show that every Nijenhuis Lie algebra embeds into its HNN-extension. Nijenhuis Lie algebras, Gröbner-Shirshov basis, HNN extension |
| title | An embedding theorem for Nijenhuis Lie algebras |
| topic | Rings and Algebras 13P10, 17A50, 16Z10 |
| url | https://arxiv.org/abs/2512.10743 |