The structure problems of Zinbiel-Lie and Novikov-Jordan algebras
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| Full text | |
| Author(s): |
Camacho, Luisa M.
;
Karimjanov, Iqboljon
;
Kaygorodov, Ivan
;
Khudoyberdiyev, Abror
Total Authors: 4
|
| Document type: | Journal article |
| Source: | LINEAR & MULTILINEAR ALGEBRA; v. 70, n. 8, p. 17-pg., 2020-05-09. |
| Abstract | |
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an n-dimensional null-filiform Zinbiel algebra is isomorphic to an -dimensional null-filiform Zinbiel algebra. Moreover, we obtain all pairwise non isomorphic quasi-filiform Zinbiel algebras. (AU) | |
| FAPESP's process: | 18/15712-0 - Conservative algebras and superalgebras |
| Grantee: | Ivan Kaygorodov |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/12197-7 - Description of solvable Leibniz algebras |
| Grantee: | Ivan Kaygorodov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 19/00192-3 - The geometric classification of non-assocociative algebras |
| Grantee: | Ivan Kaygorodov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |