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arXiv · math/9810055

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

Edward Frenkel·Nicolai Reshetikhin
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Abstract

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.

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Edward Frenkel, Nicolai Reshetikhin. 2008-11-10. The q-characters of representations of quantum affine algebras and deformations of W-algebras. https://arxiv.org/abs/math/9810055

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