| Grant number: | 16/07265-8 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Duration: | February 01, 2017 - November 30, 2017 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Ivan Chestakov |
| Grantee: | Ivan Chestakov |
| Visiting researcher: | Vladimir Sokolov |
| Visiting researcher institution: | Russian Academy of Sciences (RAS), Russia |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 14/09310-5 - Algebraic structures and their representations, AP.TEM |
Abstract
Algebraic structures that define coefficients of integrable evolution multi-component systems of PDEs with polynomial right hand sides are investigated. Such algebraic approach will be generalized to the case of integrable super-symmetric systems of Korteweg-de Vries type. Classification of associative anti-frobenius algebras, related to certain classes of quadratic non-abelian Poisson brackets, is planned. (AU)
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