On Multigraded Generalizations of Kirillov-Reshetikhin Modules

Autor(es)

Bianchi, Angelo ^[1] ; Chari, Vyjayanthi ^[2] ; Fourier, Ghislain ^[3] ; Moura, Adriano ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Math, BR-13083970 Campinas, SP - Brazil

^[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 - USA

^[3] Univ Cologne, Math Inst, D-50931 Cologne - Germany

• Tipo de documento: Artigo Científico
• Fonte: ALGEBRAS AND REPRESENTATION THEORY; v. 17, n. 2, p. 519-538, APR 2014.
• Citações Web of Science: 3

Resumo

We study the category of -graded modules with finite-dimensional graded pieces for certain -graded Lie algebras. We also consider certain Serre subcategories with finitely many isomorphism classes of simple objects. We construct projective resolutions for the simple modules in these categories and compute the Ext groups between simple modules. We show that the projective covers of the simple modules in these Serre subcategories can be regarded as multigraded generalizations of Kirillov-Reshetikhin modules and give a recursive formula for computing their graded characters. (AU)

• Processo FAPESP: 11/22322-4 - Representações de hiperálgebras de laços e álgebras de funções equivariantes
• Beneficiário: Angelo Calil Bianchi
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado