Abstract
Abstract In this paper, Lefschetz formulae for torus actions on p-adic groups are proven. These are similar to comparable formulae for real Lie groups. Applications lie in the realm of dynamical zeta functions.
Similar content being viewed by others
References
Borel, A., Linear Algebraic Groups, W. A. Benjamin Inc., New York, 1969
Borel, A., Introduction Aux Groupes Arithm´etiques, Hermann, Paris, 1969
Borel, A. and Wallach, N., Continuous Cohomology, Discrete Groups, and Representations of Reductive Groups, Ann. Math. Stud., 94, Princeton, 1980
Casselman, W., Characters and jacquet modules, Math. Ann., 230, 1977, 101–105
Deitmar, A., Geometric zeta-functions on p-adic groups, Math. Japon., 47(1), 1998, 1–17
Deitmar, A., A prime geodesic theorem for higher rank spaces, Geometric and Functional Analysis, 14, 2004, 1238–1266
Deitmar, A., A Lefschetz formula for higher rank, preprint. http://arxiv.org/abs/math/0505403
Kottwitz, R., Tamagawa numbers, Ann. Math., 127, 1988, 629–646
Wolf, J., Discrete groups, symmetric spaces and global holonomy, Amer. J. Math., 84, 1962, 527–542
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Deitmar, A. Lefschetz Formulae for p-Adic Groups. Chin. Ann. Math. Ser. B 28, 463–474 (2007). https://doi.org/10.1007/s11401-005-0234-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11401-005-0234-5