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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Tilting Modules in Truncated Categories

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Bennett, Matthew [1] ; Bianchi, Angelo [2]
Total Authors: 2
[1] Univ Estadual Campinas, Dept Math, Campinas - Brazil
[2] Univ Fed Sao Paulo, Inst Sci & Technol, Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Symmetry Integrability and Geometry-Methods and Applications; v. 10, 2014.
Web of Science Citations: 0

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