On representations of dialgebras and conformal algebras

TL;DR

This paper explores the relationship between dialgebras, especially Leibniz algebras, and conformal algebras, demonstrating how methods from each area can inform and solve problems in the other.

Contribution

It establishes a connection between dialgebras and conformal algebras, showing how techniques from one can be applied to the other.

Findings

Methods of conformal algebras aid in solving dialgebra problems

Ideas of dialgebras enhance understanding of conformal algebras

The paper clarifies the interplay between these algebraic structures

Abstract

In this note, we observe a relation between dialgebras (in particular, Leibniz algebras) and conformal algebras. The purpose is to show how the methods of conformal algebras help solving problems on dialgebras, and, conversely, how the ideas of dialgebras work for conformal algebras.