Conformal $(\si,\t)$-Derivations on Lie conformal superalgebras

TL;DR

This paper investigates the properties and structures of conformal $( heta, au)$-derivations in Lie conformal superalgebras, exploring their fundamental aspects, interior structures, and relationships with generalized derivations.

Contribution

It introduces and analyzes the theory of conformal $( heta, au)$-derivations, including their fundamental properties and connections to generalized derivations in Lie conformal superalgebras.

Findings

Characterized the properties of conformal $( heta, au)$-derivations.

Explored the interior structures of conformal $G$-derivations.

Established relationships between conformal $( heta, au)$-derivations and generalized conformal derivations.

Abstract

In this paper, we focus on the $(\si,\t)$-derivation theory of Lie conformal superalgebras. Firstly, we study the fundamental properties of conformal $(\si,\t)$-derivations. Secondly, we mainly research the interiors of conformal $G$-derivations. Finally, we discuss the relationships between the conformal $(\si,\t)$-derivations and some generalized conformal derivations of Lie conformal superalgebras.