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Algebraic methods for the systematic study of (Gamma,sigma)-equivariant applications.

Grant number: 11/09139-6
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): August 01, 2011
Effective date (End): January 31, 2012
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Míriam Garcia Manoel
Grantee:Patricia Hernandes Baptistelli
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:08/54222-6 - Singularities, geometry and differential equations, AP.TEM

Abstract

The purpose of this work is to present algebraic results for the study of (Gamma,sigma)-equivariant applications, when the compact Lie group Gamma formed by the symmetries of the problem has a normal subgroup of index m greater than or equal to two. In the case when m = 2, the equations and the domain of the problem are invariant under the action of the group Gamma formed by the symmetries and reversing symmetries of the problem. The expected results are based on algebraic tools in representation theory of groups and invariant theory.