Experimental Mathematics

The Alternative Operad Is Not Koszul

Askar Dzhumadil’daev and Pasha Zusmanovich
Source: Experiment. Math. Volume 20, Issue 2 (2011), 138-144.

Abstract

In the online compendium, J. L. Loday, Encyclopedia of Types of Algebras, it is asked whether the alternative operad is Koszul. The purpose of this note is to demonstrate that the answer to this question is negative. In doing so, we have been aided by the programs Albert and PARI/GP.

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Related Works:

Primary Subjects: 17D05
Secondary Subjects: 05A05, 16N40, 16S37, 17-04, 17DI5, 18D50, 65F99
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.em/1317924405
Mathematical Reviews number (MathSciNet): MR2821385
Zentralblatt MATH identifier: 06152627


2013 © A K Peters, Ltd.

Experimental Mathematics

Experimental Mathematics