Nonsymmetric versions of binary quadratic operads
Abstract
In this paper, we study the white Manin product of the associative operad with a binary quadratic operad . We introduce the notion of a nonsymmetric version of and provide a criterion for determining when the operad 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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