Representations of Quantum Affine Algebras in their $R$-Matrix Realization
Representation Theory
2020-12-29 v2 Quantum Algebra
Abstract
We use the isomorphisms between the -matrix and Drinfeld presentations of the quantum affine algebras in types , and produced in our previous work to describe finite-dimensional irreducible representations in the -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 -matrix and Drinfeld presentations of the Yangians.
Keywords
Cite
@article{arxiv.2008.07847,
title = {Representations of Quantum Affine Algebras in their $R$-Matrix Realization},
author = {Naihuan Jing and Ming Liu and Alexander Molev},
journal= {arXiv preprint arXiv:2008.07847},
year = {2020}
}
Comments
includes a review of arXiv:1705.08155, arXiv:1903.00204 and arXiv:1911.03496