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
• Start date: October 01, 2012
• End date: 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.

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, NOV 1 2015. (13/20243-5, 12/06923-0)

BENNETT, MATTHEW; BIANCHI, ANGELO. Tilting Modules in Truncated Categories. Symmetry Integrability and Geometry-Methods and Applications, v. 10, 2014. (11/22322-4, 12/06923-0)