TY - JOUR

T1 - The homotopy Lie algebra of classifying spaces

AU - Gatsinzi, J.-B.

PY - 1997

Y1 - 1997

N2 - Let X be a 1-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 ExtULx(Q, Lx), and which converges to the homotopy Lie algebra of the classifying space B autX. Moreover, some terms of this spectral sequence are related to derivations of Lx and to the Gottlieb group of X.

AB - Let X be a 1-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 ExtULx(Q, Lx), and which converges to the homotopy Lie algebra of the classifying space B autX. Moreover, some terms of this spectral sequence are related to derivations of Lx and to the Gottlieb group of X.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-0031589524&origin=resultslist&sort=plf-f&src=s&st1=The+homotopy+Lie+algebra+of+classifying+spaces&nlo=&nlr=&nls=&sid=055dbc0fed3b11348e8e1f6738919d33&sot=b&sdt=b&sl=61&s=TITLE-ABS-KEY%28The+homotopy+Lie+algebra+of+classifying+spaces%29&relpos=22&citeCnt=9&searchTerm=

U2 - https://doi.org/10.1016/S0022-4049(96)00037-0

DO - https://doi.org/10.1016/S0022-4049(96)00037-0

M3 - Article

VL - 120

SP - 281

EP - 289

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 3

ER -