Algebras of quantum differential operators

• Grant number: 13/13970-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 23, 2014
• End date: May 18, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Uma Iyer
• Visiting researcher institution: City University of New York, New York (CUNY), United States
• 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

The main goal of the project is to develop the theory of quantum differential operators and its relation with the theory of Galois algebras developped by V. Futorny and S. Ovsienko and theory of Twisted generalized Weyl algebras developped by V. Futorny and J. Hartwig. (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; IYER, UMA N.. REPRESENTATIONS OF D-q(k[x]). Israel Journal of Mathematics, v. 212, n. 1, p. 473-506, MAY 2016. (10/50347-9, 13/13970-8)