On solvable Lie algebras of small breadth
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910034456215552 |
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| author | Khuhirun, Borworn Korkeathikhun, Korkeat Sriwongsa, Songpon Wiboonton, Keng |
| author_facet | Khuhirun, Borworn Korkeathikhun, Korkeat Sriwongsa, Songpon Wiboonton, Keng |
| contents | The concept of breadth has been used in the classification of p-groups and nilpotent Lie algebras. In this paper, we investigate this notion for finite-dimensional solvable Lie algebras. Our main focus is to characterize solvable Lie algebras of breadth less than or equal to 2. More importantly, we provide a complete classification of such Lie algebras that are pure and nonnilpotent over the complex numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00602 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On solvable Lie algebras of small breadth Khuhirun, Borworn Korkeathikhun, Korkeat Sriwongsa, Songpon Wiboonton, Keng Rings and Algebras 17B30 The concept of breadth has been used in the classification of p-groups and nilpotent Lie algebras. In this paper, we investigate this notion for finite-dimensional solvable Lie algebras. Our main focus is to characterize solvable Lie algebras of breadth less than or equal to 2. More importantly, we provide a complete classification of such Lie algebras that are pure and nonnilpotent over the complex numbers. |
| title | On solvable Lie algebras of small breadth |
| topic | Rings and Algebras 17B30 |
| url | https://arxiv.org/abs/2507.00602 |