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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


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)

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