Galois orders, twisted generalized Weyl algebras and their representations
Representations of hyper loop algebras and equivariant map algebras
Indecomposable modules over the algebra of polynomial integro-differential operators
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 - USA
[3] Uppsala Univ, Dept Math, SE-75106 Uppsala - Sweden
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 142, n. 9, p. 3049-3057, SEP 2014. |
| Web of Science Citations: | 5 |
| Abstract | |
We classify simple weight modules over infinite dimensional Weyl algebras and realize them using the action on certain localizations of the polynomial ring. We describe indecomposable projective and injective weight modules and deduce from this a description of blocks of the category of weight modules by quivers and relations. As a corollary we establish Koszulity for all blocks. (AU) | |
| FAPESP's process: | 10/50347-9 - Algebras, representations e applications |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 11/21621-8 - Representations of Lie (super)algebras of vector fields |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |