Semigroups in Kac-Moody groups

• Grant number: 11/13730-1
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: November 01, 2011
• End date: August 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Antonio Barrera San Martin
• Grantee: Conrado Damato de Lacerda
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 07/06896-5 - Geometry of control, dynamical and stochastic systems, AP.TEM
• Associated scholarship(s): 14/01889-4 - Gauge group actions on fibre bundles, BE.EP.DR

Abstract

The subject matter of this research are semigroups in affine Kac-Moody groups and loop groups. The objective is to generalize to these infinite dimensional groups previous results by the supervisor on semigroups in semi-simple Lie groups, motivated by recent applications on dynamical systems.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

LACERDA, Conrado Damato de. Momento de expoentes de Lyapunov e semigrupos em grupos de Lie semissimples. 2017. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.