The Alternative Operad Is Not Koszul

The Alternative Operad Is Not Koszul

In the online compendium [Loday 07], 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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Bibliographische Detailangaben
Veröffentlicht in:Experimental mathematics 2011-01, Vol.20 (2), p.138-144
Hauptverfasser: Dzhumadil'daev, Askar, Zusmanovich, Pasha
Format: Artikel
Sprache:eng
Schlagworte:
05A05
16N40
16S37
17-04
17D05
17DI5
18D50
65F99
Alternative operad
Koszulity
Poincaré series
Primary 17D05
right-alternative operad
Secondary 05A05
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Beschreibung
Zusammenfassung:In the online compendium [Loday 07], 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.
ISSN:1058-6458
1944-950X
DOI:10.1080/10586458.2011.544558