The q-characters of representations of quantum affine algebras and deformations of W-algebras

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dc.creatorFrenkel, Edward
dc.creatorReshetikhin, Nicolai
dc.date1998-10-08
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:16:55Z
dc.date.available2026-07-07T10:16:55Z
dc.descriptionWe propose the notion of q-characters for finite-dimensional representations of quantum affine algebras. It is motivated by our theory of deformed W-algebras. We show that the q-characters give rise to a homomorphism from the Grothendieck ring of representations of a quantum affine algebra to a polynomial ring. We conjecture that the image of this homomorphism is equal to the intersection of certain "screening operators". We also discuss the connection between q-characters and Bethe Ansatz.
dc.description47 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math/9810055
dc.identifierhttp://arxiv.org/abs/math/9810055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173678
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe q-characters of representations of quantum affine algebras and deformations of W-algebras
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