On extensions of some classes of algebras
The paper consists of three parts. In the first part we discuss on extensions of Lie algebras and their importance in Physics. Then we deal with the extensions of some classes of algebras with one binary operation. The third part is devoted to the study of extensions of two classes of algebras, poss...
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75124/ http://psasir.upm.edu.my/id/eprint/75124/1/On%20extensions.pdf |
| _version_ | 1848857610404495360 |
|---|---|
| author | Rakhimov, Isamiddin |
| author_facet | Rakhimov, Isamiddin |
| author_sort | Rakhimov, Isamiddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The paper consists of three parts. In the first part we discuss on extensions of Lie algebras and their importance in Physics. Then we deal with the extensions of some classes of algebras with one binary operation. The third part is devoted to the study of extensions of two classes of algebras, possessing two algebraic operations, called dialgebras. In all the cases we propose 2-cocycles and respective extensions. The motivation to study the extensions is to use them further for the classification problem of the classes algebras considered in low dimensional cases. |
| first_indexed | 2025-11-15T12:00:17Z |
| format | Article |
| id | upm-75124 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:00:17Z |
| publishDate | 2018 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-751242020-10-17T19:50:12Z http://psasir.upm.edu.my/id/eprint/75124/ On extensions of some classes of algebras Rakhimov, Isamiddin The paper consists of three parts. In the first part we discuss on extensions of Lie algebras and their importance in Physics. Then we deal with the extensions of some classes of algebras with one binary operation. The third part is devoted to the study of extensions of two classes of algebras, possessing two algebraic operations, called dialgebras. In all the cases we propose 2-cocycles and respective extensions. The motivation to study the extensions is to use them further for the classification problem of the classes algebras considered in low dimensional cases. Springer 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75124/1/On%20extensions.pdf Rakhimov, Isamiddin (2018) On extensions of some classes of algebras. Springer Proceedings in Mathematics and Statistics, 264. 131 - 149. ISSN 2194-1009 10.1007/978-3-030-01144-4_12 |
| spellingShingle | Rakhimov, Isamiddin On extensions of some classes of algebras |
| title | On extensions of some classes of algebras |
| title_full | On extensions of some classes of algebras |
| title_fullStr | On extensions of some classes of algebras |
| title_full_unstemmed | On extensions of some classes of algebras |
| title_short | On extensions of some classes of algebras |
| title_sort | on extensions of some classes of algebras |
| url | http://psasir.upm.edu.my/id/eprint/75124/ http://psasir.upm.edu.my/id/eprint/75124/ http://psasir.upm.edu.my/id/eprint/75124/1/On%20extensions.pdf |