# Structure of a class of Lie conformal algebras of Block type

## TL;DR

This paper investigates the structure of a class of infinite rank Lie conformal algebras of Block type, focusing on their derivations, biderivations, and cohomologies, thus advancing understanding of their algebraic properties.

## Contribution

It provides a complete analysis of conformal derivations, biderivations, and specific cohomologies for the Lie conformal algebras (p), a class recently introduced.

## Key findings

- Determined all conformal derivations of (p).
- Characterized conformal biderivations of (p).
- Computed certain second cohomology groups of (p).

## Abstract

Let $p$ be a nonzero complex number. Recently, a class of infinite rank Lie conformal algebras $\mathfrak{B}(p)$ was introduced in [13]. In this paper, we study the structure theory of this class of Lie conformal algebras. Specifically, we completely determine the conformal derivations, the conformal biderivations and certain second cohomologies of $\mathfrak{B}(p)$.