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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8166| Title: | Nilpotent Lie algebras with two centralizer dimensions over a finite field |
| Authors: | Kundu, Rijubrata Naik, Tushar Kanta SINGH, ANUPAM Dept. of Mathematics |
| Keywords: | Nilpotent Lie algebras Breadth type Semifields 2023-AUG-WEEK4 TOC-AUG-2023 2023 |
| Issue Date: | Nov-2023 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Algebra, 633, 362-388. |
| Abstract: | A result of Barnea and Isaacs states that if L is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of L is either 2 or 3. In this article, we classify all such finite dimensional 3-step nilpotent Lie algebras over a finite field. |
| URI: | https://doi.org/10.1016/j.jalgebra.2023.06.013 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8166 |
| ISSN: | 0021-8693 1090-266X |
| Appears in Collections: | JOURNAL ARTICLES |
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