Abstract. In this paper, Lie superbialgebra structures on the centerless twisted N = 2 superconformal algebra L are considered which are proved to be coboundary triangular.

In this paper, we investigate Lie bialgebra structures on a twisted Schrödinger-Virasoro type algebra L. All Lie bialgebra structures on L are triangular coboundary, which is different from the relative result on the original Schrödinger-Virasoro type Lie algebra. In particular, we find for this Lie algebra that there are more hidden inner derivations from itself to L ⊗ L and we develop one method to search them.

In this paper, we determine the derivation algebra and automorphism group of the twisted N = 2 superconformal algebra. Then we generalize the relative results to the generalized twisted N = 2 superconformal algebra in the final section.

The derivation algebra and automorphism group of a class of super [Formula: see text]-algebra [Formula: see text] are completely determined in this paper.