Il est démontré que toute a.d.g.c. ayant un modèle minimal de Sullivan de type fini peut être représentée par une certaine algèbre de Lie différentielle graduée de dérivations. En particulier on peut ainsi représenter le type d’homotopie rationnelle d’un espace topologique.
Every c.d.g.a. with a Sullivan minimal model of finite type can be represented by a certain graded differential Lie algebra of derivations. This permits such a representation for the rational homotopy type of a topological space.
@article{AIF_1982__32_4_143_0,
author = {F\'elix, Yves and Halperin, Stephen and Thomas, Jean-Claude},
title = {Sur certaines alg\`ebres de {Lie} de d\'erivations},
journal = {Annales de l'Institut Fourier},
pages = {143--150},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {32},
number = {4},
year = {1982},
doi = {10.5802/aif.897},
zbl = {0487.55005},
mrnumber = {84m:55011},
language = {fr},
url = {http://archive.numdam.org/articles/10.5802/aif.897/}
}
TY - JOUR AU - Félix, Yves AU - Halperin, Stephen AU - Thomas, Jean-Claude TI - Sur certaines algèbres de Lie de dérivations JO - Annales de l'Institut Fourier PY - 1982 DA - 1982/// SP - 143 EP - 150 VL - 32 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.897/ UR - https://zbmath.org/?q=an%3A0487.55005 UR - https://www.ams.org/mathscinet-getitem?mr=84m:55011 UR - https://doi.org/10.5802/aif.897 DO - 10.5802/aif.897 LA - fr ID - AIF_1982__32_4_143_0 ER -
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude. Sur certaines algèbres de Lie de dérivations. Annales de l'Institut Fourier, Tome 32 (1982) no. 4, pp. 143-150. doi : 10.5802/aif.897. http://archive.numdam.org/articles/10.5802/aif.897/
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