Examples of Homotopy Lie Algebras

Details Examples of Homotopy Lie Algebras Examples of Homotopy Lie Algebras

2009-03-31

arxiv.org/abs/0903.5433v2

Mathematics

Quantum Algebra

12 pages, LaTeX. v2: Minor corrections. To appear in the proceedings of the 29th Srni winter school "Geometry and Physics", pu

Scientific paper

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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