Journal of Lie Theory

no. 2
A New Formula for Discrete Series Characters on Split Groups
Journal of Lie Theory, Volume 16 (2006) no. 2, pp. 329-349
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.
DOI: 10.5802/jolt.413
Classification: 22E45, 22E46
Keywords: Semisimple Lie group, discrete series, characters 
@article{JOLT_2006_16_2_a7,
     author = {J. Bigeon and J. Vargas},
     title = {A {New} {Formula} for {Discrete} {Series} {Characters} on {Split} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {329--349},
     year = {2006},
     volume = {16},
     number = {2},
     doi = {10.5802/jolt.413},
     zbl = {1103.22007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.413/}
}
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J. Bigeon; J. Vargas. A New Formula for Discrete Series Characters on Split Groups. Journal of Lie Theory, Volume 16 (2006) no. 2, pp. 329-349. doi: 10.5802/jolt.413

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