Invariant theory and reversible-equivariant vector fields

• Tipo: Artigo em Revista Científica Internacional
• Data: 2009

Autores

antoneli, f (Autor) Outra; baptistelli, ph (Autor) Outra; dias, aps (Autor) FCUP; manoel, m (Autor) Outra

Revista

Título: Journal of Pure and Applied Algebra

Vol. 213 Nº 4

Páginas: 649-663

ISSN: 0022-4049

Editora: Elsevier

Indexação

ISI Web of Knowledge - 15 Citações

Scopus - 15 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-003-KGK

DOI: 10.1016/j.jpaa.2008.08.002

Abstract (EN): In this paper we present results for the systematic study of reversible-equivariant vector fields - namely, in the simultaneous presence of symmetries and reversing symmetries - by employing algebraic techniques from invariant theory for compact Lie groups. The Hilbert-Poincare series and their associated Molien formulae are introduced,and we prove the character formulae for the computation of dimensions of spaces of homogeneous anti-invariant polynomial functions and reversible-equivariant polynomial mappings. A symbolic algorithm is obtained for the computation of generators for the module of reversible-equivariant polynomial mappings over the ring of invariant polynomials. We show that this computation can be obtained directly from a well-known situation, namely from the generators of the ring of invariants and the module of the equivariants.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15