Simple representations of Witt and Kac-Moody algebras

• Grant number: 15/08615-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: April 02, 2016
• End date: May 01, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Kaiming Zhao
• Visiting researcher institution: Wilfrid Laurier 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: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

This is a research project in the area of Representation Theory of Lie algebras. It will be directed to the problems of the study of simple representations of different classes of algebras, such as Witt algebras, Kac-Moody algebras and Krichever-Novikov algebras. (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)

FUTORNY, VYACHESLAV; LIU, GENQIANG; LU, RENCAI; ZHAO, KAIMING. New families of irreducible weight modules over sl(3). Journal of Algebra, v. 501, p. 458-472, MAY 1 2018. (14/09310-5, 15/08615-0)