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Operad Structures on the Species Composition of Two Operads
Applied Categorical StructuresWe give an explicit description of three operad structures on the species composition $p \circ q$, where $q$ is any given positive operad, and where $p$ is the NAP operad, or a shuffle version of the magmatic operad Mag. No distributive law between $p$ and $q$ is assumed.
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Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. [PDF]
Commun Algebra, 2019 Burde D, Gubarev V.
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, 2005 Didactic operadic entertainment for pedestrians. The following visual toys are included: operad of little squares, operad of planar rooted trees, and an operad algebra example.
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Spectral Networks and Stability Conditions for Fukaya Categories with Coefficients. [PDF]
Commun Math PhysHaiden F, Katzarkov L, Simpson C.
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On the equivalence of Lurie's ∞-operads and dendroidal ∞-operads
Journal of TopologyIn this paper, we prove the equivalence of two symmetric monoidal (Formula presented.) -categories of (Formula presented.) -operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.
Hinich, V., Moerdijk, I.
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Crossed Modules Over Operads and Operadic Cohomology
K-Theory, 2004This article introduces and studies secondary operads. These are defined as operads in the symmetric monoidal category \(Pair(Mod)\) whose objects are maps \(f:A\to B\) between pairs of graded modules. The definition is made explicit by a full description of all the structure maps of a secondary operad and of all the unit, associativity and ...
Baues, H., Minian, E., Richter, B.
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