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- W2963495602 abstract "A new concept of Loday algebroid (and its pure algebraic version -- Loday pseudoalgebra) isproposed and discussed in comparison with other similar structurespresent in the literature. The structure of a Loday pseudoalgebraand its natural reduction to a Lie pseudoalgebra is studied.Further, Loday algebroids are interpreted as homological vectorfields on a `supercommutative manifold' associated with a shuffle product and the correspondingCartan calculus is introduced. Several examples, including Courantalgebroids, Grassmann-Dorfman and twisted Courant-Dorfmanbrackets, as well as algebroids induced by Nambu-Poissonstructures, are given." @default.
- W2963495602 created "2019-07-30" @default.
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- W2963495602 date "2013-01-01" @default.
- W2963495602 modified "2023-09-27" @default.
- W2963495602 title "The supergeometry of Loday algebroids" @default.
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- W2963495602 doi "https://doi.org/10.3934/jgm.2013.5.185" @default.
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