1 citations · 1 across the 6 of their papers we have counts for
8 papers
Divergent diagrams of folds associated with reflections
Patrícia Hernandes Baptistelli, Maria Elenice Rodrigues Hernandes, Miriam Manoel
We analyse divergent diagrams of \(k\)-fold map-germs on \((\mathbb{C}^n,0)\), for , associated with reflections, adapting to the complex setting the theory of folds a…
Normal forms of -Hamiltonian vector fields with symmetries
Patrícia Hernandes Baptistelli, Maria Elenice Rodrigues Hernandes, Eralcilene Moreira Terezio
In this paper, we present algebraic tools to obtain normal forms of -Hamiltonian vector fields under a semisymplectic action of a Lie group, by taking into account the symmetrie…
-Symplectic algebra and Hamiltonian vector fields
Patrícia Hernandes Baptistelli, Maria Elenice Rodrigues Hernandes, Eralcilene Moreira Terezio
The purpose of this paper is presenting a theoretical basis for the study of -Hamiltonian vector fields in a more general approach than the classical one. We introduce the conce…
Recognition of symmetries in reversible maps
Patrícia H. Baptistelli, Isabel S. Labouriau, Miriam Manoel
We deal with germs of diffeomorphisms that are reversible under an involution. We establish that this condition implies that, in general, both the family of reversing symmetries an…
Normal forms of bireversible vector fields
P. H. Baptistelli, M. Manoel, I. O. Zeli
In this paper we adapt the method of [P. H. Baptistelli, M. Manoel and I. O. Zeli. Normal form theory for reversible equivariant vector fields. Bull. Braz. Math. Soc., New Series 4…
Relative equivariants under compact Lie groups
Patricia Hernandes Baptistelli, Miriam Manoel
In this work we obtain the general form of polynomial mappings that commute with a linear action of a relative symmetry group. The aim is to give results for relative equivariant p…
Normal form theory for reversible equivariant vector fields
Patricia Hernandes Baptistelli, Miriam Garcia Manoel, Iris de Oliveira Zeli
We give an alternative method to obtain normal forms of reversible equivariant vector fields. We adapt the classical method using tools from invariant theory to establish formulae…
Invariants and relative invariants under compact Lie groups
Patricia H. Baptistelli, Miriam Manoel
This paper presents algebraic methods for the study of polynomial relative invariants, when the group G formed by the symmetries and relative symmetries is a compact Lie group. We…