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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Multigraded Generalizations of Kirillov-Reshetikhin Modules

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Author(s):
Bianchi, Angelo [1] ; Chari, Vyjayanthi [2] ; Fourier, Ghislain [3] ; Moura, Adriano [1]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: ALGEBRAS AND REPRESENTATION THEORY; v. 17, n. 2, p. 519-538, APR 2014.
Web of Science Citations: 3
Abstract

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)

FAPESP's process: 11/22322-4 - Representations of hyper loop algebras and equivariant map algebras
Grantee:Angelo Calil Bianchi
Support Opportunities: Scholarships in Brazil - Post-Doctoral