3 1 O ct 2 00 6 A free differential Lie algebra for the interval 1
نویسنده
چکیده
n An), and |a| ∈ Z denotes the grading. The bracket and differential are required to respect the grading, in that for homogeneous elements, |[a, b]| = |a| + |b| while |∂a| = |a| − 1. The adjoint action of A on itself is given by ade(a) = [e, a] and acts on the grading by ade : An−→An+|e|. In this notation (2) and (3) can be rewritten as • (2) (Jacobi identity) ad[a,b] = [ada, adb] • (3) (Leibnitz rule) [∂, ada] = ad∂a
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O ct 2 00 6 A free differential Lie algebra for the interval 1
n An), and |a| ∈ Z denotes the grading. The bracket and differential are required to respect the grading, in that for homogeneous elements, |[a, b]| = |a| + |b| while |∂a| = |a| − 1. The adjoint action of A on itself is given by ade(a) = [e, a] and acts on the grading by ade : An−→An+|e|. In this notation (2) and (3) can be rewritten as • (2) (Jacobi identity) ad[a,b] = [ada, adb] • (3) (Leibni...
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