搜索结果: 1-10 共查到“代数学 Operads”相关记录10条 . 查询时间(0.269 秒)
Koszul duality of operads and homology of partition posets
Koszul duality operads homology partition posets
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2015/3/25
We consider partitions of a set with r elements ordered by refinement. We consider the simplicial complex Kˉ(r) formed by chains of partitions which starts at the smallest element and ends at the larg...
Koszul duality for Operads
Koszul duality Operads
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2015/3/25
This is a copy of the article by the same authors published in Duke Math. J. (1994).
On Hopf algebra structures over operads
Hopf algebra operads
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2015/3/25
We study P-Hopf algebras with one coassociative cooperation over different operads P. For example, we consider the Loday-Ronco dendriform Hopf algebra and its isomorphisms with the noncommutative plan...
Operads, homotopy algebra and iterated integrals for double loop spaces
Operads homotopy algebra iterated integrals double loop spaces
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2015/3/25
This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended ...
Open-string vertex algebras, tensor categories and operads
Open-string vertex algebras tensor categories operads
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2015/3/25
We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the n...
Operads and Motives in Deformation Quantization
Operads Motives Deformation Quantization
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2015/3/25
This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
Deformations of algebras over operads and Deligne's conjecture
algebras over operads Deligne's conjecture
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2015/3/25
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe formal moduli spaces of...
Generalized bialgebras and triples of operads
Generalized bialgebras riples of operads
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2015/3/25
We introduce the notion of generalized bialgebra, which includes the classical notion of bialgebra (Hopf algebra) and many others. We prove that, under some mild conditions, a connected generalized bi...
From Operads to Dendroidal Sets
Operads Homotopy Theory Weak Algebras
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2011/2/23
Dendroidal sets offer a formalism for the study of 1-operads akin to the formalism of 1-categories by means of simplicial sets. We present here an account of the current state of the theory while plac...
Deformations of algebras over operads and Deligne's conjecture
Deformations algebras operads Deligne's conjecture
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2010/11/1
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe formal moduli spaces o...