ω-Symplectic algebra and Hamiltonianvector fields

Autor(es)

Baptistelli, Patricia H. ; Hernandes, Maria Elenice R. ; Terezio, Eralcilene Moreira

• Tipo de documento: Artigo Científico
• Fonte: RESEARCH IN THE MATHEMATICAL SCIENCES; v. 11, n. 1, p. 14-pg., 2024-03-01.

Resumo

The purpose of this paper is to present an algebraic theoretical basis for the study of omega-Hamiltonian vector fields defined on a symplectic vector space (V,omega) with respect to coordinates that are not necessarily symplectic. We introduce the concepts of omega-symplectic and omega-semisymplectic groups, and describe some of their properties that may not coincide with the classical context. We show that the Lie algebra of such groups is a useful tool in the recognition and construction of omega-Hamiltonian vector fields. (AU)

• Processo FAPESP: 19/21181-0 - Novas fronteiras na Teoria de Singularidades
• Beneficiário: Regilene Delazari dos Santos Oliveira
• Modalidade de apoio: Auxílio à Pesquisa - Temático