Geodesic
Automorphisms of Normalizers of Maximal Tori and First Cohomology of Weyl Groups<!-- Anfang Autor -->
Journal of Lie Theory, Tome 14 (2004) no. 2, pp. 583-617

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Zbl

Let T be a maximal torus in a connected compact Lie group G, and let W be the corresponding Weyl group with its natural action on T as a reflection group. The cohomology group H1(W; T) is computed for all simple Lie groups, and the general case is studied. The method is based on a suitable interpretation of H1(W; T) as a group of (outer) automorphisms of the normalizer of T.
Classification : 20J06, 22E15, 22D45
Mots-clés : Cohomology of Weyl groups, compact Lie groups, normalizers of maximal tori, outer automorphisms 
J.-F. Hämmerli; M. Matthey; U. Suter. Automorphisms of Normalizers of Maximal Tori and First Cohomology of Weyl Groups

<!-- Anfang Autor -->. Journal of Lie Theory, Tome 14 (2004) no. 2, pp. 583-617. http://geodesic.mathdoc.fr/item/JOLT_2004_14_2_a15/
@article{JOLT_2004_14_2_a15,
     author = {J.-F. H\"ammerli and M. Matthey and U. Suter},
     title = {Automorphisms of {Normalizers} of {Maximal} {Tori} and {First} {Cohomology} of {Weyl} {Groups

&lt;!--} {Anfang} {Autor} --&gt;},
     journal = {Journal of Lie Theory},
     pages = {583--617},
     year = {2004},
     volume = {14},
     number = {2},
     zbl = {1092.22004},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2004_14_2_a15/}
}
TY  - JOUR
AU  - J.-F. Hämmerli
AU  - M. Matthey
AU  - U. Suter
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<!-- Anfang Autor -->
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%A M. Matthey
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<!-- Anfang Autor -->
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