Geodesic
A New Formula for Discrete Series Characters on Split Groups
Journal of Lie theory, Tome 16 (2006) no. 2, pp. 329-349.

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

Let be G a connected semisimple real Lie group with a compact Cartan subgroup. Harish-Chandra proved formulas for discrete series characters which are explicit except for certain integer constants appearing in numerators. The main result of this paper is to work out a new formula for the constants when G is a split group.
Classification : 22E45, 22E46
Mots-clés : Semisimple Lie group, discrete series, characters 
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     title = {A {New} {Formula} for {Discrete} {Series} {Characters} on {Split} {Groups}},
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J. Bigeon; J. Vargas . A New Formula for Discrete Series Characters on Split Groups. Journal of Lie theory, Tome 16 (2006) no. 2, pp. 329-349. http://geodesic.mathdoc.fr/item/JLT_2006_16_2_JLT_2006_16_2_a7/