Callow 发表于 2025-3-21 18:44:52
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https://doi.org/10.1007/978-3-658-40724-7lgebra ., which satisfies the Maurer–Cartan equation: . The set of twisting morphisms Tw(.,.) is shown to be representable both in . and in .: . Then we investigate the twisting morphisms which give rise to quasi-isomorphisms under the aforementioned identifications. We call them ..高脚酒杯 发表于 2025-3-22 01:52:45
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C. Czerkinsky,J.-B. Sun,J. Holmgren (co)operad, Koszul complex and Koszul resolution. This last one provides us with the minimal model of the operad ., thereby defining the notion of .-algebra up to homotopy. In the last section, we extend this method to inhomogeneous quadratic operads.笨拙处理 发表于 2025-3-22 14:03:53
Pod and Seed Camouflage in the Genus ,systems, PBW and Gröbner bases, distributive laws (Diamond Lemma), or combinatorics (partition poset method). The notion of shuffle operad plays a key role in this respect. We also introduce the Manin products constructions for operads.谆谆教诲 发表于 2025-3-22 19:34:13
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The Many Defensive Mechanisms of Plantsg associative algebras, why should one consider the category of dg coassociative coalgebras? The conceptual explanation is given by the Koszul duality theory for operads: the operad . is Koszul and its Koszul dual operad is itself. In order to generalize the notion of twisting morphism to dg .-algeblambaste 发表于 2025-3-23 06:38:34
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