Spherical conjugacy classes and the Bruhat decomposition
[Classes de conjugaison sphériques et décomposition de Bruhat]
Carnovale, Giovanna
Annales de l'Institut Fourier, Tome 59 (2009), p. 2329-2357 / Harvested from Numdam
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Soit G un groupe algébrique réductif connexe, sur un corps algébriquement clos de caractéristique zéro ou bonne et impaire. Nous caractérisons les classes de conjugaison sphériques de G comme celles ayant une intersection seulement avec des cellules de Bruhat de G correspondantes à des involutions dans le groupe de Weyl de G.

Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G as those intersecting only Bruhat cells in G corresponding to involutions in the Weyl group of G.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/aif.2492
Classification:  20GXX,  20E45,  20F55,  14M15
Mots clés: classe de conjugaison, espace homogène sphérique, décomposition de Bruhat 
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     author = {Carnovale, Giovanna},
     title = {Spherical conjugacy classes and the Bruhat decomposition},
     journal = {Annales de l'Institut Fourier},
     volume = {59},
     year = {2009},
     pages = {2329-2357},
     doi = {10.5802/aif.2492},
     zbl = {1195.20051},
     mrnumber = {2640922},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2009__59_6_2329_0}
}

Carnovale, Giovanna. Spherical conjugacy classes and the Bruhat decomposition. Annales de l'Institut Fourier, Tome 59 (2009) pp. 2329-2357. doi : 10.5802/aif.2492. http://gdmltest.u-ga.fr/item/AIF_2009__59_6_2329_0/

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