math.QA Primary 17B37, Secondary 16T05
Using Catalan words and $q$-shuffle algebras to describe the Damiani-Beck PBW bases for the positive parts of quantum affine superalgebra $U_q(C(2)^{(2)})$ and quantum admissible affine algebra $\mathcal{U}_q(\widehat{\mathfrak{s l}}_2)$
Naihong Hu Xin Zhong