| Full text | |
| Author(s): |
Sverchkov, Sergei R.
[1]
Total Authors: 1
|
| Affiliation: | [1] Russian Presidential Acad Natl Econ & Publ Adm, Siberian Branch, Novosibirsk 630102 - Russia
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Central European Journal of Mathematics; v. 12, n. 11, p. 1687-1699, NOV 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove that the variety of Lie algebras arising from splicing operation coincides with the variety CM of centreby-metabelian Lie algebras. Using these Lie algebras we find the minimal dimension algebras generated the variety CM and the variety of its associative envelope algebras. We study the splicing n-ary operation. We show that all n-ary (n > 2) commutator algebras arising from this operation are nilpotent of index 3. We investigate the generalization of the splicing n-ary operation, and we formulate a series of open problems. (AU) | |
| FAPESP's process: | 10/50171-8 - Sergei Sverchkov | Siberian Branch of the Russian Academy of Agricultural Sciences - Rússia |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |