Structures, representations, and applications of algebraic systems
Lie and Jordan algebras, their representations and generalizations
The structure problems of Zinbiel-Lie and Novikov-Jordan algebras
| Author(s): |
Kashuba, Iryna
;
Ovsienko, Serge
;
Shestakov, Ivan
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ALGEBRA & DISCRETE MATHEMATICS; v. 23, n. 1, p. 47-61, 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
A finite dimensional Jordan algebra J over a field k is called basic if the quotient algebra J/ Rad J is isomorphic to a direct sum of copies of k. We describe all basic Jordan algebras J with (Rad J)(2) = 0 or finite and tame representation type over an algebraically closed field of characteristic 0. (AU) | |
| FAPESP's process: | 16/08740-1 - Representations of non-associative algebras and superalgebras |
| Grantee: | Iryna Kashuba |
| Support Opportunities: | Regular Research Grants |