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arXiv · 0907.1505

(Non-)Koszulness of operads for n-ary algebras, galgalim and other curiosities

Martin Markl·Elisabeth Remm
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Abstract

We investigate operads for various n-ary algebras. As a useful tool we introduce galgalim - analogs of the Lie-hedra for n-ary algebras. We then focus to algebras with one anti-associative operation. We describe the relevant part of the deformation cohomology for this type of algebras using the minimal model for the anti-associative operad. We also discuss free partially associative algebras and formulate some open problems.

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Martin Markl, Elisabeth Remm. 2011-08-25. (Non-)Koszulness of operads for n-ary algebras, galgalim and other curiosities. https://arxiv.org/abs/0907.1505

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