Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904239 | Topology and its Applications | 2018 | 14 Pages |
Abstract
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 polynomials that correspond to the results for relative invariants obtained in a previous paper (Baptistelli and Manoel (2013) [5]). We present an algorithm to compute generators for relative equivariant submodules from the invariant theory applied to the subgroup formed only by the symmetries. The same method provides, as a particular case, generators for equivariants under the whole group from the knowledge of equivariant generators by a smaller subgroup, which is normal of finite index.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
PatrÃcia H. Baptistelli, Miriam Manoel,