Open Access
2011 The Alternative Operad Is Not Koszul
Askar Dzhumadil’daev, Pasha Zusmanovich
Experiment. Math. 20(2): 138-144 (2011).


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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Askar Dzhumadil’daev. Pasha Zusmanovich. "The Alternative Operad Is Not Koszul." Experiment. Math. 20 (2) 138 - 144, 2011.


Published: 2011
First available in Project Euclid: 6 October 2011

zbMATH: 1351.17034
MathSciNet: MR2821385

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

Keywords: Alternative operad , Koszulity , Poincaré series , right-alternative operad

Rights: Copyright © 2011 A K Peters, Ltd.

Vol.20 • No. 2 • 2011
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