Elliptic Central Characters and Blocks of Finite Dimensional Representations of Quantum Affine Algebras

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dc.creatorEtingof, Pavel I.
dc.creatorMoura, Adriano A.
dc.date2002-04-24
dc.date.accessioned2026-07-07T04:48:04Z
dc.date.available2026-07-07T04:48:04Z
dc.descriptionThe category of finite dimensional (type 1) representations of a quantum affine algebra $U_q(\hat{\mathfrak g})$ is not semisimple. However, as any abelian category with finite-length objects, it admits a unique decomposition into a direct sum of indecomposable subcategorie (blocks). We define the elliptic central character of a finite dimensional (type 1) representation of $U_q(\hat{\mathfrak g})$. Then we show that the block decomposition of this category is paramentrized by these elliptic central characters.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0204302
dc.identifierhttp://arxiv.org/abs/math/0204302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63908
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37; 20G42
dc.titleElliptic Central Characters and Blocks of Finite Dimensional Representations of Quantum Affine Algebras
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