New directions in Lie Theory

• Grant number: 13/20243-5
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: March 01, 2014
• End date: June 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Adriano Adrega de Moura
• Grantee: Matthew Lyle Bennett
• Supervisor: Erhard Neher
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Université de Montréal, Canada
• Associated to the scholarship: 12/06923-0 - On Filtrations and Homological Properties of Graded Modules for Current Algebras and Generalizations, BP.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. In particular, it aims at further developing the the theory of tilting modules for current algebras by extending the theory to the broader context of equivariant map algebras and also to obtain explicit realization of such modules. Another part of the project aims at studying Weyl modules from the perspective of Frobenius-Schur duality. (AU)

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)