Geodesic
Examples of homotopy Lie algebras
Archivum mathematicum, Tome 45 (2009) no. 4, pp. 265-277.

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We look at two examples of homotopy Lie algebras (also known as $L_{\infty }$ algebras) in detail from two points of view. We will exhibit the algebraic point of view in which the generalized Jacobi expressions are verified by using degree arguments and combinatorics. A second approach using the nilpotency of Grassmann-odd differential operators $\Delta $ to verify the homotopy Lie data is shown to produce the same results.
Classification : 17B55, 18G55
Keywords: homotopy Lie algebras; generalized Batalin-Vilkovisky algebras; Koszul brackets; higher antibrackets 
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     author = {Bering, Klaus and Lada, Tom},
     title = {Examples of homotopy {Lie} algebras},
     journal = {Archivum mathematicum},
     pages = {265--277},
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     volume = {45},
     number = {4},
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     zbl = {1212.18015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2009__45_4_a3/}
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Bering, Klaus; Lada, Tom. Examples of homotopy Lie algebras. Archivum mathematicum, Tome 45 (2009) no. 4, pp. 265-277. http://geodesic.mathdoc.fr/item/ARM_2009__45_4_a3/