The structure problems of Zinbiel-Lie and Novikov-Jordan algebras
Research on Hecke-Grothendieck polynomials, metabelian Novikov algebras, Generic P...
Spectral sequences for Morse-Bott and Morse-Novikov flows study
| Full text | |
| Author(s): |
Shestakov, Ivan
;
Zhang, Zerui
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 48, n. 12, p. 9-pg., 2020-07-08. |
| Abstract | |
We first prove that a left Novikov algebraNis right nilpotent if and only if it is solvable. Then we show that, every Novikov algebra that can be represented as the sum of two solvable subalgebras is itself solvable, moreover, if the two solvable subalgebras are abelian, then the whole algebra is metabelian. Finally, we show that for every n >= 2, every n-generated non-abelian free solvable (or non-abelian free right nilpotent) Novikov algebra has wild automorphisms. (AU) | |
| FAPESP's process: | 19/02095-5 - Research on Hecke-Grothendieck polynomials, metabelian Novikov algebras, Generic Poisson algebras and Novikov-Poisson algebras |
| Grantee: | Zerui Zhang |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |