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The homotopy Lie algebra of classifying spaces

✍ Scribed by J.-B. Gatsinzi

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 526 KB
Volume: 120
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00037-0

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✦ Synopsis

Let X be a l-connected CW-complex of finite type and LX its rational homotopy Lie algebra.

In this work, we show that there is a spectral sequence whose E2 term is the Lie algebra Extur,(Q, LX), and which converges to the homotopy Lie algebra of the classifying space BauH. Moreover, some terms of this spectral sequence are related to derivations of Lx and to the Gottlieb group of X @ 1997

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