Indecomposable modules over the algebra of polynomial integro-differential operators
Polynomial integro-differential operators and their representations
Lie and Jordan algebras, their representations and generalizations
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sheffield, Dept Pure Math, Hicks Bldg, Sheffield S3 7RH, S Yorkshire - England
[2] Univ Fed Minas Gerais, ICEx, Dept Matemat, Av Antonio Carlos 6627, CP 702, BR-30123970 Belo Horizonte, MG - Brazil
[3] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 146, n. 6, p. 2373-2380, JUN 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
For the algebra I-1 = K < x, d/dx, integral > of polynomial integro-differential operators over a field K of characteristic zero, a classification of indecomposable, generalized weight I-1-modules of finite length is given. Each such module is an infinite dimensional uniserial module. Ext-groups are found between indecomposable generalized weight modules; it is proven that they are finite dimensional vector spaces. (AU) | |
| FAPESP's process: | 13/24392-5 - Indecomposable modules over the algebra of polynomial integro-differential operators |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |