论文标题
Jacobi-trudi身份和超级扬尼亚人的Drinfeld函数
Jacobi-Trudi identity and Drinfeld functor for super Yangian
论文作者
论文摘要
我们表明，量子berezinian赋予与超级扬式$ \ mathrm {y}相关运动积分的生成函数图。 在此过程中，我们开发了$ \ mathrm {y}（\ mathfrak {gl} _ {m | n}）$的代表理论的几个部分，例如$ q $ - character理论，jacobi-trudi Identity，jacobi-trudi，drinfeld funct，Drinfeld函数，扩展T-Systems，Harish-Chandra Map。
We show that the quantum Berezinian which gives a generating function of the integrals of motions of XXX spin chains associated to super Yangian $\mathrm{Y}(\mathfrak{gl}_{m|n})$ 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 $\mathrm{Y}(\mathfrak{gl}_{m|n})$ such as $q$-character theory, Jacobi-Trudi identity, Drinfeld functor, extended T-systems, Harish-Chandra map.
