Geodesic
On the Local Constancy of Characters
Journal of Lie theory, Tome 15 (2005) no. 2, pp. 561-573.

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

The character of an irreducible admissible representation of a p-adic reductive group is known to be a constant function in some neighborhood of any regular semisimple element γ in the group. Under certain mild restrictions on γ, we give an explicit description of a neighborhood of γ on which the character is constant.
Classification : 22E50, 22E35, 20G25
Mots-clés : Characters, reductive p-adic groups, Bruhat-Tits building 
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     title = {On the {Local} {Constancy} of {Characters}},
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J. Korman . On the Local Constancy of Characters. Journal of Lie theory, Tome 15 (2005) no. 2, pp. 561-573. http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a10/