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

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We 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.
47 pages, Latex2e

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Quantum Algebra, High Energy Physics - Theory, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/173678

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810055
 http://arxiv.org/abs/math/9810055

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arXiv