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- W4300483887 abstract "We study the Hopf algebra of double posets and two of its Hopf subalgebras, the Hopf algebras of plane posets and of posets without N. We prove that they are free, cofree, self-dual, and we give an explicit Hopf pairing on these Hopf algebras. We also prove that they are free 2-As algebras; in particular, the Hopf algebra of posets without N is the free 2-As algebra on one generator. We deduce a description of the operads of 2-As algebras and of B_infty algebras in terms of plane posets." @default.
- W4300483887 created "2022-10-03" @default.
- W4300483887 creator A5064298910 @default.
- W4300483887 date "2011-01-27" @default.
- W4300483887 modified "2023-10-16" @default.
- W4300483887 title "Algebraic structures on double and plane posets" @default.
- W4300483887 doi "https://doi.org/10.48550/arxiv.1101.5231" @default.
- W4300483887 hasPublicationYear "2011" @default.
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