[Classes caractéristique secondaries d’extensions d’algèbre de Lie]
We introduce the notion of secondary characteristic classes of Lie algebra extensions. As an application of our construction we obtain a new proof of Lecomte’s generalization of the Chern-Weil homomorphism.
Nous introduisons une notion de classes caractéristiques secondaires d’extensions d’algèbre de Lie. Comme une application nous obtenons une nouvelle preuve de la généralisation par Lecomte de l’homomorphisme de Chern-Weil.
Keywords: secondary characteristic class, Lie algebra extension
Mots-clés : classe caractéristique secondaire, algèbre de Lie extension
Wagner, Stefan 1
@article{BSMF_2019__147_3_443_0,
author = {Wagner, Stefan},
title = {Secondary characteristic classes of {Lie} algebra extensions},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {443--453},
year = {2019},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {147},
number = {3},
doi = {10.24033/bsmf.2788},
mrnumber = {4030546},
zbl = {1468.17029},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.2788/}
}
TY - JOUR AU - Wagner, Stefan TI - Secondary characteristic classes of Lie algebra extensions JO - Bulletin de la Société Mathématique de France PY - 2019 SP - 443 EP - 453 VL - 147 IS - 3 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2788/ DO - 10.24033/bsmf.2788 LA - en ID - BSMF_2019__147_3_443_0 ER -
%0 Journal Article %A Wagner, Stefan %T Secondary characteristic classes of Lie algebra extensions %J Bulletin de la Société Mathématique de France %D 2019 %P 443-453 %V 147 %N 3 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2788/ %R 10.24033/bsmf.2788 %G en %F BSMF_2019__147_3_443_0
Wagner, Stefan. Secondary characteristic classes of Lie algebra extensions. Bulletin de la Société Mathématique de France, Tome 147 (2019) no. 3, pp. 443-453. doi: 10.24033/bsmf.2788
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