Irreducible modules over the Lie algebra of vector fields on a torus

• Grant number: 12/14961-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 12, 2013
• End date: April 17, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Yuly Billig
• Visiting researcher institution: Carleton University , Canada
• 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

This research project will study irreducible representations of Lie algebras of vector fields on a torus. The main goal is to obtain a classification of such modules using the technique of co-induced modules. (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)

BILLIG, YULY; FUTORNY, VYACHESLAV. Classification of simple cuspidal modules for solenoidal Lie algebras. Israel Journal of Mathematics, v. 222, n. 1, p. 109-123, OCT 2017. (10/50347-9, 12/14961-0)

BILLIG, YULY; FUTORNY, VYACHESLAV. Classification of irreducible representations of Lie algebra of vector fields on a torus. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, v. 720, p. 199-216, NOV 2016. (12/14961-0, 10/50347-9)