Excision and idealization of a multiplicative Lie algebra
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912332810027008 |
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| author | Maurya, Neeraj Kumar Kumar, Amit Upadhyay, Sumit Kumar |
| author_facet | Maurya, Neeraj Kumar Kumar, Amit Upadhyay, Sumit Kumar |
| contents | In this article, we introduce the concepts of excision and idealization for a multiplicative Lie algebra (also for a Lie algebra), which provides two new multiplicative Lie algebras (or Lie algebras) from a given multiplicative Lie algebra (or Lie algebra) and an ideal, under certain conditions. These concepts may assist in classifying all multiplicative Lie algebras (or Lie algebras) of a specified order (or dimension). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12701 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Excision and idealization of a multiplicative Lie algebra Maurya, Neeraj Kumar Kumar, Amit Upadhyay, Sumit Kumar Group Theory In this article, we introduce the concepts of excision and idealization for a multiplicative Lie algebra (also for a Lie algebra), which provides two new multiplicative Lie algebras (or Lie algebras) from a given multiplicative Lie algebra (or Lie algebra) and an ideal, under certain conditions. These concepts may assist in classifying all multiplicative Lie algebras (or Lie algebras) of a specified order (or dimension). |
| title | Excision and idealization of a multiplicative Lie algebra |
| topic | Group Theory |
| url | https://arxiv.org/abs/2504.12701 |