Invariants of exceptional algebraic groups and algebraic supergroups

• Grant number: 14/00210-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 01, 2014
• End date: February 01, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Alexander Zubkov
• Visiting researcher institution: Omsk State Pedagogical University (OSPU), Russia
• Host 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)