Lu, KangMukhin, Evgeny2023-06-162023-06-162021-11Lu, K., & Mukhin, E. (2021). Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian. International Mathematics Research Notices, 2021(21), 16751–16810. https://doi.org/10.1093/imrn/rnab0231073-7928, 1687-0247https://hdl.handle.net/1805/33839We show that the quantum Berezinian that gives a generating function of the integrals of motions of XXX spin chains associated to super Yangian $\textrm{Y}(\mathfrak{g}\mathfrak{l}_{m|n})$ can be written as a ratio of two difference operators of orders $m$ and $n$ whose coefficients are ratios of transfer matrices corresponding to explicit skew Young diagrams. In the process, we develop several missing parts of the representation theory of $\textrm{Y}(\mathfrak{g}\mathfrak{l}_{m|n})$ such as $q$-character theory, Jacobi–Trudi identity, Drinfeld functor, extended T-systems, and Harish-Chandra map.en-USPublisher PolicyDrinfeld Functorquantum Bereziniansuper YangianArticle