On central extensions of Nulfilioform Leibniz algebras.
We establish a bijective correspondence between all central extensions of fixed Leibniz algebra L by V (with k−dimensional centers), and certain orbits in the set of all k−dimensional subspaces in the second cohomology group H2(L, V ), under the canonical action of Aut(L). As an application we descr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hikari Ltd.
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15891/ |
| _version_ | 1848842806574972928 |
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| author | Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal Langari, Mouna Bibi |
| author_facet | Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal Langari, Mouna Bibi |
| author_sort | Sattarovich, Rakhimov Isamiddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We establish a bijective correspondence between all central extensions of fixed Leibniz algebra L by V (with k−dimensional centers), and certain orbits in the set of all k−dimensional subspaces in the second cohomology group H2(L, V ), under the canonical action of Aut(L). As an application we describe the set of all nulfiliform Leibniz algebras. |
| first_indexed | 2025-11-15T08:04:59Z |
| format | Article |
| id | upm-15891 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:04:59Z |
| publishDate | 2009 |
| publisher | Hikari Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-158912013-07-25T06:19:55Z http://psasir.upm.edu.my/id/eprint/15891/ On central extensions of Nulfilioform Leibniz algebras. Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal Langari, Mouna Bibi We establish a bijective correspondence between all central extensions of fixed Leibniz algebra L by V (with k−dimensional centers), and certain orbits in the set of all k−dimensional subspaces in the second cohomology group H2(L, V ), under the canonical action of Aut(L). As an application we describe the set of all nulfiliform Leibniz algebras. Hikari Ltd. 2009 Article PeerReviewed Sattarovich, Rakhimov Isamiddin and Langari, Seyed Jalal and Langari, Mouna Bibi (2009) On central extensions of Nulfilioform Leibniz algebras. International Journal of Algebra, 3 (6). pp. 271-280. ISSN 1314-7595 English |
| spellingShingle | Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal Langari, Mouna Bibi On central extensions of Nulfilioform Leibniz algebras. |
| title | On central extensions of Nulfilioform Leibniz algebras. |
| title_full | On central extensions of Nulfilioform Leibniz algebras. |
| title_fullStr | On central extensions of Nulfilioform Leibniz algebras. |
| title_full_unstemmed | On central extensions of Nulfilioform Leibniz algebras. |
| title_short | On central extensions of Nulfilioform Leibniz algebras. |
| title_sort | on central extensions of nulfilioform leibniz algebras. |
| url | http://psasir.upm.edu.my/id/eprint/15891/ |