Using groupoid S1-central extensions, we present, for a compact simple Lie group G, an infinite dimensional model of S1-gerbe over the differential stack G/G whose Dixmier–Douady class corresponds to the canonical generator of the equivariant cohomology HG3(G).
En utilisant des extensions S1-centrales de groupoı̈des, nous présentons, dans le cas d'un groupe simple compact G, un modèle de dimension infinie d'une S1-gerbe sur un champ différentiable G/G dont la classe de Dixmier–Douady correspond au générateur canonique de la cohomologie équivariante HG3(G).
Accepted:
Published online:
Kai Behrend 1; Ping Xu 2; Bin Zhang 3
@article{CRMATH_2003__336_3_251_0, author = {Kai Behrend and Ping Xu and Bin Zhang}, title = {Equivariant gerbes over compact simple {Lie} groups}, journal = {Comptes Rendus. Math\'ematique}, pages = {251--256}, publisher = {Elsevier}, volume = {336}, number = {3}, year = {2003}, doi = {10.1016/S1631-073X(02)00024-9}, language = {en}, }
Kai Behrend; Ping Xu; Bin Zhang. Equivariant gerbes over compact simple Lie groups. Comptes Rendus. Mathématique, Volume 336 (2003) no. 3, pp. 251-256. doi : 10.1016/S1631-073X(02)00024-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)00024-9/
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