Examples of Homotopy Lie Algebras

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Authors	BERING LARSEN Klaus LADA Tom
Year of publication	2009
Type	Article in Periodical
Magazine / Source	Archivum Mathematicum
MU Faculty or unit	Faculty of Science
Citation
Web	http://arxiv.org/abs/0903.5433 http://emis.muni.cz/journals/AM/
Field	Theoretical physics
Keywords	Homotopy Lie Algebras; Generalized Batalin Vilkovisky Algebras; Koszul Brackets; Higher Antibrackets.
Description	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.
Related projects:	Mathematical structures and their physical applications