Classification and Structure of certain Representations of Quantum Affine Algebras

• Grant number: 10/19458-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2011
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Adriano Adrega de Moura
• Grantee: Matheus Batagini Brito
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 12/04656-5 - Minimal affinizations of types G2 and D4, BE.EP.DR

Abstract

We plan to classify and study the structure of certain modules for quantum affine algebras. Namely, we will study the graded limits of certain modules related to minimal affinizations from the point of view of Demazure modules and their generalizations. Furthermore, we will address the classification of finite-dimensional tame modules when the undelrlying simple Lie algebra is of type B.

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)

BRITO, MATHEUS; CHARI, VYJAYANTHI; MOURA, ADRIANO. DEMAZURE MODULES OF LEVEL TWO AND PRIME REPRESENTATIONS OF QUANTUM AFFINE sln+1. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, v. 17, n. 1, p. 75-105, FEB 2018. (10/19458-9, 14/09310-5)

BRITO, MATHEUS; MUKHIN, EVGENY. REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS OF TYPE B-N. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 369, n. 4, p. 32-pg., 2017-04-01. (12/04656-5, 10/19458-9)

BRITO, MATHEUS; MUKHIN, EVGENY. REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS OF TYPE B-N. Transactions of the American Mathematical Society, v. 369, n. 4, p. 2775-2806, APR 2017. (12/04656-5, 10/19458-9)

Academic Publications

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

BRITO, Matheus Batagini. Classificação e estrutura de certas representações de álgebras afim quantizadas. 2015. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.