Matches in SemOpenAlex for { <https://semopenalex.org/work/W1667202395> ?p ?o ?g. }
- W1667202395 abstract "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 bialgebra is completely determined by its primitive part. This structure theorem extends the classical Poincar'e-Birkhoff-Witt theorem and the Cartier-Milnor-Moore theorem, valid for cocommutative bialgebras, to a large class of generalized bialgebras. Technically we work in the theory of operads which permits us to give a conceptual proof of our main theorem. It unifies several results, generalizing PBW and CMM, scattered in the literature. We treat many explicit examples and suggest a few conjectures." @default.
- W1667202395 created "2016-06-24" @default.
- W1667202395 creator A5073388143 @default.
- W1667202395 date "2008-01-01" @default.
- W1667202395 modified "2023-09-27" @default.
- W1667202395 title "Generalized bialgebras and triples of operads" @default.
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