The Biderivative and a ∞ -bialgebras

نویسنده

  • RONALD UMBLE
چکیده

An A∞-bialgebra is a DGM H equipped with structurally compatible operations { ω : H → H } such that ( H, ω ) is an A∞-algebra and ( H, ω ) is an A∞-coalgebra. Structural compatibility is controlled by the biderivative operator Bd, defined in terms of two kinds of cup products on certain cochain algebras of pemutahedra over the universal PROP U = End (TH). To Jim Stasheff on the occasion of his 68th birthday.

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تاریخ انتشار 2004