Derivations of Lotka-Volterra algebras

Autor(es)

Gutierrez Fernandez, Juan C. ^[1] ; Garcia, Claudia I. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 13, n. 1, p. 292-304, JUN 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático