The structure problems of Zinbiel-Lie and Novikov-Jordan algebras
On the unit group of Z-orders in finite dimensional algebras
| Full text | |
| Author(s): |
Kaygorodov, Ivan
;
Alvarez, Maria Alejandra
;
de Mello, Thiago Castilho
Total Authors: 3
|
| Document type: | Journal article |
| Source: | RICERCHE DI MATEMATICA; v. N/A, p. 27-pg., 2021-06-16. |
| Abstract | |
We describe all central extensions of all 3-dimensional nontrivial complex Zinbiel algebras. As a corollary, we have a full classification of 4-dimensional nontrivial complex Zinbiel algebras and a full classification of 5-dimensional nontrivial complex Zinbiel algebras with 2-dimensional annihilator, which gives the principal step in the algebraic classification of 5-dimensional Zinbiel algebras. (AU) | |
| FAPESP's process: | 18/15627-2 - Gradings, automorphisms and identities in algebras |
| Grantee: | Thiago Castilho de Mello |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/03655-4 - Graded structures |
| Grantee: | Ivan Kaygorodov |
| Support Opportunities: | Scholarships abroad - Research |