Shuffle algebra realizations of type \(A\) super Yangians and quantum affine superalgebras for all Cartan data (Q2194099)

This paper introduces type A super Yangians via Drinfeld realization in full generality of the choice of Dynkin diagram. The first main result is the RTT realization of these super Yangians, which yields the identification with the super Yangians of \textit{M. L. Nazarov} [Lett. Math. Phys. 21, No. 2, 123--131 (1991; Zbl 0722.17004)], and thus the introduced Yangians are independent of the choice of Dynkin diagram. In the second part, the paper gives shuffle algebra realization of the positive halves, which do depend on the choice of Dynkin diagrams as opposed to the first part. There are also contained surprisingly many related results compared to the length of the paper.