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

• Grant number: 11/09139-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2011
• End date: January 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Míriam Garcia Manoel
• Grantee: Patricia Hernandes Baptistelli
• Host 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.