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@article{826674, author = {Bering Larsen, Klaus and Lada, Tom}, article_location = {Brno}, article_number = {45}, keywords = {Homotopy Lie Algebras; Generalized Batalin Vilkovisky Algebras; Koszul Brackets; Higher Antibrackets.}, language = {eng}, issn = {1212-5059}, journal = {Archivum Mathematicum}, title = {Examples of Homotopy Lie Algebras}, url = {http://arxiv.org/abs/0903.5433}, volume = {2009}, year = {2009} }
TY - JOUR ID - 826674 AU - Bering Larsen, Klaus - Lada, Tom PY - 2009 TI - Examples of Homotopy Lie Algebras JF - Archivum Mathematicum VL - 2009 IS - 45 SP - 265-277 EP - 265-277 PB - Math.Stat., Fac.Sci., Masaryk U. SN - 12125059 KW - Homotopy Lie Algebras KW - Generalized Batalin Vilkovisky Algebras KW - Koszul Brackets KW - Higher Antibrackets. UR - http://arxiv.org/abs/0903.5433 N2 - 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. ER -
BERING LARSEN, Klaus a Tom LADA. Examples of Homotopy Lie Algebras. \textit{Archivum Mathematicum}. Brno: Math.Stat., Fac.Sci., Masaryk U., roč.~2009, č.~45, s.~265-277. ISSN~1212-5059. 2009.
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