Tensor Products, Characters, And Blocks Of Finite-dimensional Representations Of Quantum Affine Algebras At Roots Of Unity

dc.creatorJakelic D.
dc.creatorDe Moura A.A.
dc.date2011
dc.date2015-06-30T20:43:06Z
dc.date2015-11-26T14:54:05Z
dc.date2015-06-30T20:43:06Z
dc.date2015-11-26T14:54:05Z
dc.date.accessioned2018-03-28T22:05:56Z
dc.date.available2018-03-28T22:05:56Z
dc.identifier
dc.identifierInternational Mathematics Research Notices. , v. 2011, n. 18, p. 4147 - 4199, 2011.
dc.identifier10737928
dc.identifier10.1093/imrn/rnq250
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-80053223454&partnerID=40&md5=976b87ab9276b2060f5e4d7dd8105c84
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/108967
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/108967
dc.identifier2-s2.0-80053223454
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1255064
dc.descriptionWe establish several results concerning tensor products, q-characters, and the block decomposition of the category of finite-dimensional representations of quantum affine algebras in the root of unity setting. In the generic case, a Weyl module is isomorphic to a tensor product of fundamental representations and this isomorphism was essential for establishing the block decomposition theorem. This is no longer true in the root of unity setting. We overcome the lack of such a tool by utilizing results on specialization of modules. Furthermore, we establish a sufficient condition for a Weyl module to be a tensor product of fundamental representations and prove that this condition is also necessary when the underlying simple Lie algebra is. We also study the braid group invariance of q-characters of fundamental representations. © 2010 The Author(s).
dc.description2011
dc.description18
dc.description4147
dc.description4199
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dc.languageen
dc.publisher
dc.relationInternational Mathematics Research Notices
dc.rightsfechado
dc.sourceScopus
dc.titleTensor Products, Characters, And Blocks Of Finite-dimensional Representations Of Quantum Affine Algebras At Roots Of Unity
dc.typeArtículos de revistas


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