A Finite Dimensional $A_{\infty}$ Algebra Example

TL;DR

This paper presents a specific example of a finite-dimensional $A_{ abla}$ algebra, illustrating the structure's properties in a concrete setting.

Contribution

It provides the first explicit finite-dimensional $A_{ abla}$ algebra example, enhancing understanding of their structure and applications.

Findings

Explicit finite-dimensional $A_{ abla}$ algebra constructed

Demonstrates properties of $A_{ abla}$ algebras in finite dimensions

Facilitates further research in algebraic structures

Abstract

We construct an example of an $A_{\infty}$ algebra structure defined over a finite dimensional graded vector space.