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arXiv · 0903.5433

Examples of Homotopy Lie Algebras

Klaus Bering·Tom Lada
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Abstract

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 Δto verify the homotopy Lie data is shown to produce the same results.

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Klaus Bering, Tom Lada. 2009-09-17. Examples of Homotopy Lie Algebras. https://arxiv.org/abs/0903.5433

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