Indecomposable modules over the algebra of polynomial integro-differential operators

• Grant number: 13/24392-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 21, 2014
• End date: April 14, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Vladimir Bavula
• Visiting researcher institution: University of Sheffield, England
• 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 aim of the project is to describe indecomposable weight modules over the algebra of polynomial integro-differential operators. The simple modules were classified in the recent paper of Bavula. One of the striking phenomenon is that there is a strong connection between the simple modules over the Weyl algebra and the simple modules of the algebra of polynomial integro-differential operators. We expect that a similar phenomenon will take place for the indecomposable 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)

BAVULA, V.; BEKKERT, V.; FUTORNY, V.. INDECOMPOSABLE GENERALIZED WEIGHT MODULES OVER THE ALGEBRA OF POLYNOMIAL INTEGRO-DIFFERENTIAL OPERATORS. Proceedings of the American Mathematical Society, v. 146, n. 6, p. 2373-2380, JUN 2018. (13/24392-5, 14/09310-5)