The alternative operad is not Koszul
Askar Dzhumadil'daev, Pasha Zusmanovich
TL;DR
This paper uses computational methods to demonstrate that the alternative operad does not satisfy the Koszul property, providing a definitive answer to a specific algebraic question.
Contribution
The paper introduces a computational approach to prove the non-Koszulity of the alternative operad, a result previously unresolved.
Findings
Confirmed the non-Koszul nature of the alternative operad
Applied computer calculations to algebraic operad theory
Provided a definitive proof for the statement in the title
Abstract
Using computer calculations, we prove the statement in the title.
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