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
SN - 0022-4049
VL - 120
SP - 281
EP - 289
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 3
ER -