# Super-biderivations of Cartan type Lie superalgebras

## TL;DR

This paper characterizes super-biderivations of Cartan type Lie superalgebras over complex numbers and proves they are all inner for simple cases, advancing understanding of their algebraic structure.

## Contribution

It provides a complete characterization of super-biderivations for Cartan type Lie superalgebras and shows they are all inner in simple cases, which is a novel result.

## Key findings

- All super-biderivations are inner for simple Lie superalgebras.
- Characterization of super-biderivations over complex fields.
- Advancement in understanding algebraic structure of Cartan type Lie superalgebras.

## Abstract

In this paper, we characterize the super-biderivations of Cartan type Lie superalgebras over the complex field $\mathbb{C}$. Furthermore, we prove that all super-biderivations of Cartan type simple Lie superalgebras are inner super-biderivations.