Centroids and derivations of low-dimensional Leibniz algebra
In this paper we introduce the concept of centroid and derivation of Leibniz algebras. By using the classification results of Leibniz algebras obtained earlier, we describe the centroids and derivations of low-dimensional Leibniz algebras. We also study some properties of centroids of Leibniz algebr...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57395/ http://psasir.upm.edu.my/id/eprint/57395/1/Centroids%20and%20derivations%20of%20low-dimensional%20Leibniz%20algebra.pdf |
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| author | Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich Basri, Witriany |
| author_facet | Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich Basri, Witriany |
| author_sort | Said Husain, Sharifah Kartini |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we introduce the concept of centroid and derivation of Leibniz algebras. By using the classification results of Leibniz algebras obtained earlier, we describe the centroids and derivations of low-dimensional Leibniz algebras. We also study some properties of centroids of Leibniz algebras and use these properties to categorize the algebras to have so-called small centroids. The description of the derivations enables us to specify an important subclass of Leibniz algebras called characteristically nilpotent. |
| first_indexed | 2025-11-15T10:52:38Z |
| format | Conference or Workshop Item |
| id | upm-57395 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:38Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573952017-09-27T07:28:35Z http://psasir.upm.edu.my/id/eprint/57395/ Centroids and derivations of low-dimensional Leibniz algebra Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich Basri, Witriany In this paper we introduce the concept of centroid and derivation of Leibniz algebras. By using the classification results of Leibniz algebras obtained earlier, we describe the centroids and derivations of low-dimensional Leibniz algebras. We also study some properties of centroids of Leibniz algebras and use these properties to categorize the algebras to have so-called small centroids. The description of the derivations enables us to specify an important subclass of Leibniz algebras called characteristically nilpotent. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57395/1/Centroids%20and%20derivations%20of%20low-dimensional%20Leibniz%20algebra.pdf Said Husain, Sharifah Kartini and Rakhimov, Isamiddin Sattarovich and Basri, Witriany (2016) Centroids and derivations of low-dimensional Leibniz algebra. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8). 10.1063/1.4995838 |
| spellingShingle | Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich Basri, Witriany Centroids and derivations of low-dimensional Leibniz algebra |
| title | Centroids and derivations of low-dimensional Leibniz algebra |
| title_full | Centroids and derivations of low-dimensional Leibniz algebra |
| title_fullStr | Centroids and derivations of low-dimensional Leibniz algebra |
| title_full_unstemmed | Centroids and derivations of low-dimensional Leibniz algebra |
| title_short | Centroids and derivations of low-dimensional Leibniz algebra |
| title_sort | centroids and derivations of low-dimensional leibniz algebra |
| url | http://psasir.upm.edu.my/id/eprint/57395/ http://psasir.upm.edu.my/id/eprint/57395/ http://psasir.upm.edu.my/id/eprint/57395/1/Centroids%20and%20derivations%20of%20low-dimensional%20Leibniz%20algebra.pdf |