论文标题
$ q \ widetilde {q} $ - 扭曲量子仿射代数的系统
$Q\widetilde{Q}$-systems for twisted quantum affine algebras
论文作者
论文摘要
我们建立了$ q \ widetilde {q} $ - 扭曲的量子仿射代数的系统，该系统在Arxiv中：Arxiv：1606.05301中。我们开发了扭曲量子仿射代数的Borel子代理的表示理论，并构建了它们的前量表示。我们还提出了关于扭曲类型和非扭曲类型之间关系的一般猜想。我们证明了某些特定类别的表示，包括预算表示形式。
We establish the $Q \widetilde{Q}$-systems for the twisted quantum affine algebras that were conjectured in arXiv:1606.05301. We develop the representation theory of Borel subalgebra of twisted quantum affine algebras and we construct their prefundamental representations. We also propose a general conjecture on the relations between twisted and non-twisted types. We prove this conjecture for some particular classes of representations, including prefundamental representations.
