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Classification of the irregular minimal affinizations of type D

Grant number: 09/16309-5
Support Opportunities:Scholarships in Brazil - Doctorate
Start date: April 01, 2010
End date: 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.

News published in Agência FAPESP Newsletter about the scholarship:
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Articles published in other media outlets ( ):
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
MOURA, ADRIANO; PEREIRA, FERNANDA. NON-MINIMALITY OF CERTAIN IRREGULAR COHERENT PREMINIMAL AFFINIZATIONS. PACIFIC JOURNAL OF MATHEMATICS, v. 297, n. 1, p. 147-193, . (14/09310-5, 09/16309-5)
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, . (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.