On the algebra of derivations of some low-dimensional Leibniz algebras
Let \(L\) be an algebra over a field \(F\) with the binary operations \(+\) and \([,]\). Then \(L\) is called a left Leibniz algebra if it satisfies the left Leibniz identity \([[a,b],c]=[a,[b,c]]-[b,[a,c]]\) for all \(a,b,c\in L\). We study the algebras of derivations of nilpotent Leibniz algebras...
Saved in:
| Date: | 2023 |
|---|---|
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2023
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2161 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-2161 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-21612023-12-11T16:21:07Z On the algebra of derivations of some low-dimensional Leibniz algebras Kurdachenko, L. A. Semko, M. M. Subbotin, I. Ya. Leibniz algebra, nilpotent Leibniz algebra, dimension, derivation 17A32; 17A60; 17A99 Let \(L\) be an algebra over a field \(F\) with the binary operations \(+\) and \([,]\). Then \(L\) is called a left Leibniz algebra if it satisfies the left Leibniz identity \([[a,b],c]=[a,[b,c]]-[b,[a,c]]\) for all \(a,b,c\in L\). We study the algebras of derivations of nilpotent Leibniz algebras of low dimensions. Lugansk National Taras Shevchenko University The first author is grateful to Isaac Newton Institute for Mathematical Sciences and to the University of Edinburgh for the support provided in the frame of LMS Solidarity Supplementary Grant Program. 2023-12-11 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2161 10.12958/adm2161 Algebra and Discrete Mathematics; Vol 36, No 1 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2161/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2161/1122 Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2023-12-11T16:21:07Z |
| collection |
OJS |
| language |
English |
| topic |
Leibniz algebra nilpotent Leibniz algebra dimension derivation 17A32 17A60 17A99 |
| spellingShingle |
Leibniz algebra nilpotent Leibniz algebra dimension derivation 17A32 17A60 17A99 Kurdachenko, L. A. Semko, M. M. Subbotin, I. Ya. On the algebra of derivations of some low-dimensional Leibniz algebras |
| topic_facet |
Leibniz algebra nilpotent Leibniz algebra dimension derivation 17A32 17A60 17A99 |
| format |
Article |
| author |
Kurdachenko, L. A. Semko, M. M. Subbotin, I. Ya. |
| author_facet |
Kurdachenko, L. A. Semko, M. M. Subbotin, I. Ya. |
| author_sort |
Kurdachenko, L. A. |
| title |
On the algebra of derivations of some low-dimensional Leibniz algebras |
| title_short |
On the algebra of derivations of some low-dimensional Leibniz algebras |
| title_full |
On the algebra of derivations of some low-dimensional Leibniz algebras |
| title_fullStr |
On the algebra of derivations of some low-dimensional Leibniz algebras |
| title_full_unstemmed |
On the algebra of derivations of some low-dimensional Leibniz algebras |
| title_sort |
on the algebra of derivations of some low-dimensional leibniz algebras |
| description |
Let \(L\) be an algebra over a field \(F\) with the binary operations \(+\) and \([,]\). Then \(L\) is called a left Leibniz algebra if it satisfies the left Leibniz identity \([[a,b],c]=[a,[b,c]]-[b,[a,c]]\) for all \(a,b,c\in L\). We study the algebras of derivations of nilpotent Leibniz algebras of low dimensions. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2161 |
| work_keys_str_mv |
AT kurdachenkola onthealgebraofderivationsofsomelowdimensionalleibnizalgebras AT semkomm onthealgebraofderivationsofsomelowdimensionalleibnizalgebras AT subbotiniya onthealgebraofderivationsofsomelowdimensionalleibnizalgebras |
| first_indexed |
2025-07-17T10:35:20Z |
| last_indexed |
2025-07-17T10:35:20Z |
| _version_ |
1837890033194893313 |