| Grant number: | 18/21330-2 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Start date: | February 01, 2019 |
| End date: | July 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Alexandre Grichkov |
| Grantee: | Alexandre Grichkov |
| Visiting researcher: | Vladimir Grebenev |
| Visiting researcher institution: | Siberian Branch of the Russian Academy of Sciences (SB RAS) , Russia |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| City of the host institution: | São Paulo |
Abstract
This project is devoted to one of the problems that occupied the researchers working in the area of Lie algebras at the turn of the last century, one can identify with generating the minimal set of diýerential invariants for Lie (pseudo-)group actions. The fundamental basis theorem states that all diýerential invariants can be generated from a nite number of low order invariants by repeated invariant diýerentiation. This theorem rst formulated by Lie in the nite-dimensional Lie (pseudo-) groups, and then extended by Tresse to in nite dimensional Liepseudo-groups, states that the diýerential invariant algebra is nitely generated. The problem is to construct the minimal set of diýerential invariants for Lie (pseudo-) group actions. (AU)
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