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On Filtrations and Homological Properties of Graded Modules for Current Algebras and Generalizations

Grant number: 12/06923-0
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): October 01, 2012
Effective date (End): August 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Adriano Adrega de Moura
Grantee:Matthew Lyle Bennett
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated scholarship(s):13/20243-5 - New directions in Lie Theory, BE.EP.PD

Abstract

The project is concerned with the study of filtrations, homological properties, and characters of certain classes of modules for current algebras and their generalizations such as equivariant map algebras (which include the affine Kac-Moody algebras), hyperalgebras and quantum groups. In particular, we are interested in the study of tilting modules and BGG reciprocity type results in these categories.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BENNETT, MATTHEW; CHARI, VYJAYANTHI. Character formulae and a realization of tilting modules for sl(2)[t]. Journal of Algebra, v. 441, p. 216-242, . (13/20243-5, 12/06923-0)
BENNETT, MATTHEW; BIANCHI, ANGELO. Tilting Modules in Truncated Categories. Symmetry Integrability and Geometry-Methods and Applications, v. 10, . (11/22322-4, 12/06923-0)

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