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arXiv · 2008.07847

Representations of Quantum Affine Algebras in their $R$-Matrix Realization

Naihuan Jing·Ming Liu·Alexander Molev
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Abstract

We use the isomorphisms between the $R$-matrix and Drinfeld presentations of the quantum affine algebras in types $B$, $C$ and $D$ produced in our previous work to describe finite-dimensional irreducible representations in the $R$-matrix realization. We also review the isomorphisms for the Yangians of these types and use Gauss decomposition to establish an equivalence of the descriptions of the representations in the $R$-matrix and Drinfeld presentations of the Yangians.

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BibTeXRIS

Naihuan Jing, Ming Liu, Alexander Molev. 2020-08-18. Representations of Quantum Affine Algebras in their $R$-Matrix Realization. https://doi.org/10.3842/sigma.2020.145

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