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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)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

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, . (13/24392-5, 14/09310-5)