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Journal of Lie Theory 16 (2006), No. 2, 329--349
Copyright Heldermann Verlag 2006

A New Formula for Discrete Series Characters on Split Groups

Juan Bigeon
Fac. Ciencias Exactas, UNICEN, Tandil, 7000 Buenos Aires, Argentine

Jorge Vargas
FAMAF-CIEM, Ciudad Universitaria, 5000 Córdoba, Argentine

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.

Keywords: Semisimple Lie group, discrete series, characters.

MSC: 22E45, 22E46

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