Geodesic
On The Third-Degree Continuous Cohomology of Simple Lie Groups
Carlos De la Cruz Mengual1
1Department of Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zurich, Switzerland
Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 1007-1016

Voir la notice de l'article provenant de la source Heldermann Verlag

We show that the collection of connected, simple Lie groups that have non-vani\-shing third-degree continuous cohomology with trivial $\mathbb{R}$-coefficients consists precisely of all simple complex Lie groups and of $\widetilde{{\rm SL}_2(\mathbb{R})}$.
Classification : 22E41, 22E46, 57T10, 57T15
Mots-clés : Continuous cohomology, simple Lie groups, complex structures, Lie algebra cohomology, van Est's theorem, cohomology of homogeneous spaces of simple Lie groups, Dynkin index

Carlos De la Cruz Mengual  1

1 Department of Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zurich, Switzerland 
Carlos De la Cruz Mengual. On The Third-Degree Continuous Cohomology of Simple Lie Groups. Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 1007-1016. http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a6/
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     author = {Carlos De la Cruz Mengual},
     title = {On {The} {Third-Degree} {Continuous} {Cohomology} of {Simple} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1007--1016},
     year = {2019},
     volume = {29},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a6/}
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