Isomorphism between the $R$-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types $B$ and $D$
Abstract
Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277-300] for type , we showed in our previous work [J. Math. Phys. 61 (2020), 031701, 41 pages] that the Gauss decomposition of the generator matrix in the -matrix presentation of the quantum affine algebra yields the Drinfeld generators in all classical types. Complete details for type were given therein, while the present paper deals with types and . The arguments for all classical types are quite similar so we mostly concentrate on necessary additional details specific to the underlying orthogonal Lie algebras.
Keywords
Cite
@article{arxiv.1911.03496,
title = {Isomorphism between the $R$-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types $B$ and $D$},
author = {Naihuan Jing and Ming Liu and Alexander Molev},
journal= {arXiv preprint arXiv:1911.03496},
year = {2020}
}
Comments
This is the second paper on the identification of two presentations of quantum affine algebras, devoted to types B and D. The first article arXiv:1903.00204 was devoted to type C