Algebra automorphisms of two-parameter quantum superalgebras \(U_{r,s}(\text{osp}(1,2,c))\) (Q2837919)

The one-parameter quantum algebra \(U_{q}(\text{sl}_{2})\) and quantum superalgebra \(U_{q}(\text{osp(1,2)})\) have been studied very extensively. These algebras have also been extended to two-parameter quantum algebras \(U_{r,s}(\text{sl}_{2})\) and \(U_{r,s}(\text{osp(1,2)})\). The authors of this article study a bigger two-parameter quantum superalgebra \(U_{r,s}(\text{osp(1,2),c})\) by adding two parameters \(c\) and \(c^{-1}\) to the quantum superalgebra \(U_{r,s}(\text{osp(1,2)})\). This new algebra is shown to be be similar to the quotient algebra \(U_{q,q^{-1}}(\text{osp(1,2),c})\) modulo an ideal. The authors also study several properties of the algebra automorphisms of \(U_{r,s}(\text{osp(1,2),c})\).