Journal of Lie Theory

no. 2
On the Local Constancy of Characters
Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 561-573
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.
DOI: 10.5802/jolt.390
Classification: 22E50, 22E35, 20G25
Keywords: Characters, reductive p-adic groups, Bruhat-Tits building 
@article{JOLT_2005_15_2_a10,
     author = {J. Korman},
     title = {On the {Local} {Constancy} of {Characters}},
     journal = {Journal of Lie Theory},
     pages = {561--573},
     year = {2005},
     volume = {15},
     number = {2},
     doi = {10.5802/jolt.390},
     zbl = {1071.22023},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.390/}
}
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J. Korman. On the Local Constancy of Characters. Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 561-573. doi: 10.5802/jolt.390

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