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Examples of Homotopy Lie Algebras

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arxiv 0903.5433 v2 pith:QOPXCMBP submitted 2009-03-31 math.QA math-phmath.MP

Klaus Bering , Tom Lada This is my paper · ORCID
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keywords algebrashomotopyexamplesviewalgebraicapproachargumentscombinatorics
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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.

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