Invariant theory and reversible-equivariant vector fields
Results for the systematic study of reversible-equivalent vector fields are presented -- namely, in the simultaneous presence of symmetries and reversing symmetries -- by employing algebraic techniques from invariant theory for compact Lie groups. Formulae are introduced for the computation of dimensions of spaces of homogeneous anti-invariant polynomial functions and reversible-equivariant polynomial mapping. A symbolic algorithm is obtained for the computation of generators for the module of reversible-equivariant polynomial mapping over the ring of invariant polynomials.
scientific article; zbMATH DE number 5527487