کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9497185 1630753 2005 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher derived brackets and homotopy algebras
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Higher derived brackets and homotopy algebras
چکیده انگلیسی
We give a construction of homotopy algebras based on “higher derived brackets”. More precisely, the data include a Lie superalgebra with a projector on an Abelian subalgebra satisfying a certain axiom, and an odd element Δ. Given this, we introduce an infinite sequence of higher brackets on the image of the projector, and explicitly calculate their Jacobiators in terms of Δ2. This allows to control higher Jacobi identities in terms of the “order” of Δ2. Examples include Stasheff's strongly homotopy Lie algebras and variants of homotopy Batalin-Vilkovisky algebras. There is a generalization with Δ replaced by an arbitrary odd derivation. We discuss applications and links with other constructions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 202, Issues 1–3, 1 November 2005, Pages 133-153
نویسندگان
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