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Associative, alternative, Jordan algebras and their subalgebras of invariants

Grant number: 13/02039-1
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): August 01, 2013
Effective date (End): July 31, 2014
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Ivan Chestakov
Grantee:Maxim Goncharov
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

Some open problems in the theory of associative, alternative and Jordan algebras and their subalgebras of invariants will be considered.The main aim of the project is to find possible connections between properties of these algebras and the properties of their subalgebrasof invariants relative a finite group of automorpisms. In particular, we want to generalize the Bergman-Isaacs theorem to the case of a finite group of Jordan automorphisms.

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