论文标题
$ a $ a $的量子仿射代数的超级二元性
Super duality for quantum affine algebras of type $A$
论文作者
论文摘要
我们介绍了一种新方法，以研究仿射的量子组的有限维表示，superalgebra $ \ mathrm {l} \ mathfrak {gl} _ {m | n} = \ m m mathbb {c} n $）。我们解释了$ \ mathrm {l} \ mathfrak {gl} _ {m | n} $的量子组的表示如何与使用精确的单型函数的量子$ a $的量子Aggine代数直接相关。这可以看作是$ a $的超级双重性的仿真。
We introduce a new approach to the study of finite-dimensional representations of the quantum group of the affine Lie superalgebra $\mathrm{L}\mathfrak{gl}_{M|N}=\mathbb{C}[t,t^{-1}]\otimes\mathfrak{gl}_{M|N}$ ($M\neq N$). We explain how the representations of the quantum group of $\mathrm{L}\mathfrak{gl}_{M|N}$ are directly related to those of the quantum affine algebra of type $A$, using an exact monoidal functor called truncation. This can be viewed as an affine analogue of super duality of type $A$.
