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...
| Príomhchruthaitheoirí: | , , |
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| Formáid: | Alt |
| Teanga: | English |
| Foilsithe / Cruthaithe: |
Hikari Ltd.
2009
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| _version_ | 1825945709418905600 |
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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 |
| collection | UPM |
| 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 | 2024-03-06T07:35:41Z |
| format | Article |
| id | upm.eprints-15891 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:35:41Z |
| publishDate | 2009 |
| publisher | Hikari Ltd. |
| record_format | dspace |
| spelling | upm.eprints-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 |
| work_keys_str_mv | AT sattarovichrakhimovisamiddin oncentralextensionsofnulfilioformleibnizalgebras AT langariseyedjalal oncentralextensionsofnulfilioformleibnizalgebras AT langarimounabibi oncentralextensionsofnulfilioformleibnizalgebras |