no. 6
Spherical conjugacy classes and the Bruhat decomposition
Annales de l'Institut Fourier, Volume 59 (2009) no. 6, pp. 2329-2357.

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.

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.

Received:
Revised:
Accepted:
DOI: 10.5802/aif.2492
Classification: 20GXX,  20E45,  20F55,  14M15
Keywords: Conjugacy class, spherical homogeneous space, Bruhat decomposition 
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Carnovale, Giovanna. Spherical conjugacy classes and the Bruhat decomposition. Annales de l'Institut Fourier, Volume 59 (2009) no. 6, pp. 2329-2357. doi : 10.5802/aif.2492. https://aif.centre-mersenne.org/articles/10.5802/aif.2492/

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