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arXiv · 2605.01007

Nonsymmetric versions of binary quadratic operads

F. A. Mashurov·B. K. Sartayev
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Abstract

In this paper, we study the white Manin product of the associative operad $\As$ with a binary quadratic operad $\Var$. We introduce the notion of a nonsymmetric version of $\Var$ and provide a criterion for determining when the operad $\As\circ\Var$ has this property. We illustrate the construction with several examples and counterexamples. Finally, for some operads admitting nonsymmetric versions, we describe their combinatorial properties.

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F. A. Mashurov, B. K. Sartayev. 2026-05-01. Nonsymmetric versions of binary quadratic operads. https://arxiv.org/abs/2605.01007

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