A. Dzhumadil'daev

activity

19982022

most citedThe alternative operad is not Koszul

24 citations · 105 across the 22 of their papers we have counts for

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Showing 2009Show all

4 papers · 1 filter

math.RA2009★ 24 cited

Commutative 2-cocycles on Lie algebras

Askar Dzhumadil'daev, Pasha Zusmanovich

On Lie algebras, we study commutative 2-cocycles, i.e., symmetric bilinear forms satisfying the usual cocycle equation. We note their relationship with antiderivations and compute…

math.RA2009★ 24 cited

The alternative operad is not Koszul

Askar Dzhumadil'daev, Pasha Zusmanovich

Using computer calculations, we prove the statement in the title.

math.RA2009★ 4 cited

Novikov operad is not Koszul

A. S. Dzhumadil'daev

An algebra with identities $a \circ (b \circ c - c \circ b) = (a \circ b) \circ c - (a \circ c) \circ b$ and $a \circ (b \circ c) = b \circ (a \circ c)$ is called Novikov. We show that Novikov operad is…

math.RA2009★ 4 cited

Codimension growth of a variety of Novikov algebras

A. S. Dzhumadil'daev

An algebra with identities $a \circ (b \circ c - c \circ b) = (a \circ b) \circ c - (a \circ c) \circ b$ and $a \circ (b \circ c) = b \circ (a \circ c)$ is called Novikov. We construct free Novikov base…