Alexei Davydov | University of Sydney - Australia

• Grant number: 08/10526-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: June 20, 2009
• End date: October 31, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Alexei Davydov
• Visiting researcher institution: University of Sydney, Australia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This is a research project in the representation theory and its applications in Quantum Field theory. The objective of the project is the study of algebraic and categorical structures with the origin in Rational Conformal Field Theories and their generalizations - logarithmic conformal quantum field theories and rational super-conformal quantum field theories. Namely, the study of representation theoretic and categorical aspects of Vertex Operator Algebras and their modules. (AU)

Scientific publications

(4)

(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)

DAVYDOV, ALEXEI. FULL CENTRE OF AN H-MODULE ALGEBRA. COMMUNICATIONS IN ALGEBRA, v. 40, n. 1, p. 273-290, 2012. (08/10526-1)

DAVYDOV, ALEXEI. Centre of an algebra. ADVANCES IN MATHEMATICS, v. 225, n. 1, p. 319-348, SEP 10 2010. (08/10526-1)

DAVYDOV, ALEXEI; FUTORNY, VYACHESLAV. COMMUTATIVE ALGEBRAS IN DRINFELD CATEGORIES OF ABELIAN LIE ALGEBRAS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 55, n. 3, p. 613-633, OCT 2012. (05/60337-2, 08/10526-1)

DAVYDOV, ALEXEI; FUTORNY, VYACHESLAV. COMMUTATIVE ALGEBRAS IN DRINFELD CATEGORIES OF ABELIAN LIE ALGEBRAS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 55, p. 21-pg., 2012-10-01. (05/60337-2, 08/10526-1)