| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil
[2] Univ Sao Paulo, EACH, BR-03828000 Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 13, n. 1, p. 292-304, JUN 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
Lotka-Volterra algebras emerge in connection with biological problems and Lotka-Volterra systems for the interactions of neighboring individuals. The purpose of this paper is to study the structure of a Lotka-Volterra algebra A and its algebra of derivations. This algebra A is defined through antisymmetric matrices, and we give explicitly its derivations space. Finally, we prove that a conjecture of {[}7] is false. We find a local derivation of a 4-dimensional Lotka-Volterra algebra A into itself which is not a derivation of A. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |