Polynomial integro-differential operators and their representations
Lie and Jordan algebras, their representations and generalizations
Excellent filtrations and combinatorial aspects of representations of affine Kac-M...
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)
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