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Zbl 1212.18015
Bering, K.; Lada, T.
Examples of homotopy Lie algebras. (English)
[J] Arch. Math., Brno 45, No. 4, 265-277 (2009). ISSN 0044-8753; ISSN 1212-5059/e

Summary: 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.

MSC 2000:: *18G55 Nonabelian homotopical algebra

Keywords: homotopy Lie algebra; generalized Batalin-Vilkovisky algebra; Koszul brackets; higher antibrackets

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