Representations of map superalgebras

• Grant number: 13/08430-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: September 01, 2013
• End date: December 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Adriano Adrega de Moura
• Grantee: Lucas Henrique Calixto
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 13/25842-4 - Representations of map Lie superalgebras, BE.EP.DR

Abstract

The main goal of this project is to study representations of map Lie superalgebras. More precisely, we are interested in completing the classification of their finite-dimensional irreducible representations initiated by A. Savage in 2012. It would also be interesting to extend this study to the category Ô in the sense introduced by Mukhin-Young (in another context) also in 2012.

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)

BAGCI, IRFAN; CALIXTO, LUCAS; MACEDO, TIAGO. Weyl Modules and Weyl Functors for Lie Superalgebras. ALGEBRAS AND REPRESENTATION THEORY, v. 22, n. 3, p. 723-756, JUN 2019. (13/08430-4)

CALIXTO, LUCAS; MOURA, ADRIANO; SAVAGE, ALISTAIR. Equivariant Map Queer Lie Superalgebras. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v. 68, n. 2, p. 258-279, APR 2016. (13/08430-4, 14/09310-5)

CALIXTO, LUCAS; LEMAY, JOEL; SAVAGE, ALISTAIR. WEYL MODULES FOR LIE SUPERALGEBRAS. Proceedings of the American Mathematical Society, v. 147, n. 8, p. 3191-3207, AUG 2019. (13/08430-4)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

CALIXTO, Lucas Henrique. Representações de superalgebras de funções. 2015. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.