Universität zu Köln

Bianchi, Angelo, Chari, Vyjayanthi, Fourier, Ghislain and Moura, Adriano (2014). On Multigraded Generalizations of Kirillov-Reshetikhin Modules. Algebr. Represent. Theory, 17 (2). S. 519 - 539. DORDRECHT: SPRINGER. ISSN 1572-9079

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bianchi, Angelo UNSPECIFIED UNSPECIFIED UNSPECIFIED Chari, Vyjayanthi UNSPECIFIED UNSPECIFIED UNSPECIFIED Fourier, Ghislain UNSPECIFIED UNSPECIFIED UNSPECIFIED Moura, Adriano UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-441752
DOI:	10.1007/s10468-013-9408-0
Journal or Publication Title:	Algebr. Represent. Theory
Volume:	17
Number:	2
Page Range:	S. 519 - 539
Date:	2014
Publisher:	SPRINGER
Place of Publication:	DORDRECHT
ISSN:	1572-9079
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM AFFINE ALGEBRA; MINIMAL AFFINIZATIONS; WEYL MODULES; TABLEAUX DESCRIPTIONS; FUSION PRODUCTS; CRYSTALS; REPRESENTATIONS; PATHS; LIMITS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/44175