Vertex constructions in representation theory of infinite dimensional Lie algebra.

• Grant number: 12/02459-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2012
• End date: May 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Renato Alessandro Martins
• 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

This is a research project for postdoctoral program, in Algebra. Our goal is to study new constructions of free field realizations, mainly the realizations related to intermediate Wakimoto modules. Project methods include the methods of the representation theory of Lie algebras. The results can be used in other researches.

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)

COX, BEN; JURISICH, ELIZABETH; MARTINS, RENATO A.. The 3-point Virasoro algebra and its action on a Fock space. Journal of Mathematical Physics, v. 57, n. 3, MAR 2016. (12/02459-8)

KASHUBA, IRYNA; MARTINS, RENATO A.. FREE FIELD REALIZATIONS OF INDUCED MODULES FOR AFFINE LIE ALGEBRAS. COMMUNICATIONS IN ALGEBRA, v. 42, n. 6, p. 2428-2441, JUN 3 2014. (12/02459-8)

FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; MARTINS, RENATO A.. Localization of Free Field Realizations of Affine Lie Algebras. LETTERS IN MATHEMATICAL PHYSICS, v. 105, n. 4, p. 483-502, APR 2015. (12/02459-8, 11/21621-8, 14/09310-5)