论文标题
通过GKLO型同构的差异操作员:洗牌方法和量子Q-System的应用
Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum Q-systems
论文作者
论文摘要
我们提出了用于转移的量子仿射,环形和箭袋代数的GKLO型同态的散缩实现,从而概括了其理性版本的Arxiv:2104.14518和A型Arxiv类型的构造:1811.12137。作为一个应用程序,这使我们能够建造通勤和Q的差异差异操作员的大型家庭,为Q-Systems提供了方便的方法,在这些方法中证明了Arxiv的猜想:1704.00154。
We present a shuffle realization of the GKLO-type homomorphisms for shifted quantum affine, toroidal, and quiver algebras, thus generalizing its rational version of arXiv:2104.14518 and the type A construction of arXiv:1811.12137. As an application, this allows us to construct large families of commuting and q-commuting difference operators, in particular, providing a convenient approach to the Q-systems where it proves a conjecture of arXiv:1704.00154.