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Invariants of exceptional algebraic groups and algebraic supergroups

Grant number: 14/00210-8
Support type:Research Grants - Visiting Researcher Grant - International
Duration: October 01, 2014 - February 01, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Ivan Chestakov
Grantee:Ivan Chestakov
Visiting researcher: Alexander Zubkov
Visiting researcher institution: Omsk State Pedagogical University (OSPU), Russia
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

The polynomial invariants of exceptional groups G_2 and F_4 will be studied. We plan to find a list of generators of the algebras of invariants considering the above groups as groups of automorphisms of octonions and of the Albert algebra. Besides, the semi-invariants of the algebraic supergroup GL(m,n) will be investigated. (AU)