# Quasi-derivations of Lie-Yamaguti algebras

## TL;DR

This paper introduces the concept of quasi-derivations in Lie-Yamaguti algebras, exploring their properties and how they relate to the algebra's robustness, thus extending the understanding of derivations in this algebraic structure.

## Contribution

It generalizes derivations to quasi-derivations in Lie-Yamaguti algebras and studies their embedding and impact on algebra robustness.

## Key findings

- Quasi-derivations can be embedded as derivations in larger LY-algebras.
- The relationship between quasi-derivations and algebra robustness is established.
- The concept broadens the understanding of derivation structures in LY-algebras.

## Abstract

The concept of derivation for Lie-Yamaguti algebras is generalized in this paper. A quasi-derivation of an LY-algebra is embedded as derivation in a larger LY-algebra. The relationship between quasi-derivations and robustness of Lie-Yamaguti algebras has been studied.