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Commentarii Mathematici Helvetici
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Published online: 2009-12-23
The structure of homotopy Lie algebras
Yves Félix[1], Steve Halperin[2] and Jean-Claude Thomas[3] (1) Université Catholique de Louvain, Belgium(2) University of Maryland, College Park, USA
(3) Université d'Angers, France
In this paper we consider a graded Lie algebra, L, of finite
depth m, and study the interplay between the depth of L
and the growth of the integers dim Li. A
subspace W in a graded vector space V is called full if
for some
integers d, N, q, dim Vk
≤ d ∑
Keywords: Homotopy Lie algebra, graded Lie algebra, ideal, radical of a Lie algebra, log index, growth
Félix Yves, Halperin Steve, Thomas Jean-Claude: The structure of homotopy Lie algebras. Comment. Math. Helv. 84 (2009), 807-833. doi: 10.4171/CMH/182