Cohomology, globalization and related topics

• Grant number: 22/00953-7
• Support Opportunities: Scholarships in Brazil - Post-Doctorate
• Effective date (Start): March 01, 2022
• Effective date (End): February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Mikhailo Dokuchaev
• Grantee: Farangis Johari
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 20/16594-0 - Non commutative rings and applications, AP.TEM

Abstract

The project will be dedicated to the study of problems of globalization involving cohomolgy based on partial actions and torelations between Lie algebras and partial actions. In particular, we shall try to determine whether exist relations betweenextensions associated with partial cocycles and extensions associted with global cocycles. Moreover, the possibility ofgloblizing twisted partial Hopf actions and their partial cohomologies will be also studied. Structural properties of Liealgebras and their relation to partial actions will be also considered. (AU)