Callow 发表于 2025-3-21 18:44:52

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明确 发表于 2025-3-21 22:27:58

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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Highbrow 发表于 2025-3-22 05:19:44

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锡箔纸 发表于 2025-3-22 12:48:52

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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结合 发表于 2025-3-23 01:18:22

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Harrowing 发表于 2025-3-23 01:46:37

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 .-algeb

lambaste 发表于 2025-3-23 06:38:34

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查看完整版本: Titlebook: Algebraic Operads; Jean-Louis Loday,Bruno Vallette Book 2012 Springer-Verlag Berlin Heidelberg 2012 18D50, 17AXX, 18G50, 55P48, 57T30.Kosz