Classification of the irregular minimal affinizations of type D

• Grant number: 09/16309-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Effective date (Start): April 01, 2010
• Effective date (End): February 28, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Adriano Adrega de Moura
• Grantee: Fernanda de Andrade Pereira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We plan to study minimal affinizations of quantum groups as defined by V. Chari. The main open problems we shall focus on are the completion of the classification of the equivalence classes of such representations in terms of their highest l-weights and the description of their structure via closed formulas for their characters or l-characters.

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)

MOURA, A.; PEREIRA, F.. ON TENSOR PRODUCTS OF A MINIMAL AFFINIZATION WITH AN EXTREME KIRILLOV-RESHETIKHIN MODULE FOR TYPE A. TRANSFORMATION GROUPS, v. 23, n. 4, p. 989-1044, DEC 2018. (14/09310-5, 09/16309-5)

MOURA, ADRIANO; PEREIRA, FERNANDA. NON-MINIMALITY OF CERTAIN IRREGULAR COHERENT PREMINIMAL AFFINIZATIONS. PACIFIC JOURNAL OF MATHEMATICS, v. 297, n. 1, p. 147-193, NOV 2018. (14/09310-5, 09/16309-5)

Academic Publications

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

PEREIRA, Fernanda de Andrade. Classificação das afinizações minimais irregulares de tipo D. 2014. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.