Graded Lie algebras with finite polydepth
Yves Felix, Stephen Halperin, Jean-Claude Thomas (2003)
Annales scientifiques de l'École Normale Supérieure
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Yves Felix, Stephen Halperin, Jean-Claude Thomas (2003)
Annales scientifiques de l'École Normale Supérieure
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Martin Markl (1989)
Annales de l'institut Fourier
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The problem of the characterization of graded Lie algebras which admit a realization as the homotopy Lie algebra of a space of type is discussed. The central results are formulated in terms of varieties of structure constants, several criterions for concrete algebras are also deduced.
Martin Markl, Stefan Papadima (1992)
Annales de l'institut Fourier
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We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as (the homotopy Lie algebra) or (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.
Jean-Claude Thomas (1981)
Annales de l'institut Fourier
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In rational homotopy theory, we show how the homotopy notion of pure fibration arises in a natural way. It can be proved that some fibrations, with homogeneous spaces as fibre are pure fibrations. Consequences of these results on the operation of a Lie group and the existence of Serre fibrations are given. We also examine various measures of rational triviality for a fibration and compare them with and whithout the hypothesis of pure fibration.
A. Joseph (1972)
Annales de l'I.H.P. Physique théorique
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Ch. Deninger, W. Singhof (1988)
Bulletin de la Société Mathématique de France
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