4 papers
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…
Quotients and lifts of symmetric directed graphs
Manuela Aguiar, Ana Dias, Miriam Manoel
Given a directed graph, an equivalence relation on the graph vertex set is said to be balanced if, for every two vertices in the same equivalence class, the number of directed edge…
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…
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…