Finite faithful representations of finite conformal Lie algebras

• Grant number: 12/04704-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 06, 2012
• End date: September 05, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Pavel S. Kolesnikov
• 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
• Associated research grant: 10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

The objective of the project is to study the fundamental question on embedding of a finite Lie conformal algebra into an associative conformal algebra. The precise problem is to prove an existence of a finite faithful conformal representation for such an algebra. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KOLESNIKOV, PAVEL S.; MAKAR-LIMANOV, LEONID G.; SHESTAKOV, IVAN P.. The Freiheitssatz for Generic Poisson Algebras. Symmetry Integrability and Geometry-Methods and Applications, v. 10, 2014. (10/50347-9, 12/04704-0, 11/52030-5)