On Filtrations and Homological Properties of Graded Modules for Current Algebras a...
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Dept Math, Campinas - Brazil
[2] Univ Fed Sao Paulo, Inst Sci & Technol, Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Symmetry Integrability and Geometry-Methods and Applications; v. 10, 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
We begin the study of a tilting theory in certain truncated categories of modules G(Gamma) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Gamma = P+ x J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Gamma') where Gamma' = P' x J, where P' subset of P+ is saturated. Under certain natural conditions on Gamma', we note that G(Gamma') admits full tilting modules. (AU) | |
| FAPESP's process: | 11/22322-4 - Representations of hyper loop algebras and equivariant map algebras |
| Grantee: | Angelo Calil Bianchi |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 12/06923-0 - On Filtrations and Homological Properties of Graded Modules for Current Algebras and Generalizations |
| Grantee: | Matthew Lyle Bennett |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |