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Lefschetz Formulae for p-Adic Groups

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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.

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References

  1. Borel, A., Linear Algebraic Groups, W. A. Benjamin Inc., New York, 1969

  2. Borel, A., Introduction Aux Groupes Arithm´etiques, Hermann, Paris, 1969

  3. Borel, A. and Wallach, N., Continuous Cohomology, Discrete Groups, and Representations of Reductive Groups, Ann. Math. Stud., 94, Princeton, 1980

  4. Casselman, W., Characters and jacquet modules, Math. Ann., 230, 1977, 101–105

    Article  Google Scholar 

  5. Deitmar, A., Geometric zeta-functions on p-adic groups, Math. Japon., 47(1), 1998, 1–17

    MATH  Google Scholar 

  6. Deitmar, A., A prime geodesic theorem for higher rank spaces, Geometric and Functional Analysis, 14, 2004, 1238–1266

    Article  Google Scholar 

  7. Deitmar, A., A Lefschetz formula for higher rank, preprint. http://arxiv.org/abs/math/0505403

  8. Kottwitz, R., Tamagawa numbers, Ann. Math., 127, 1988, 629–646

    Article  Google Scholar 

  9. Wolf, J., Discrete groups, symmetric spaces and global holonomy, Amer. J. Math., 84, 1962, 527–542

    Article  MATH  Google Scholar 

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Correspondence to Anton Deitmar.

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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

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  • DOI: https://doi.org/10.1007/s11401-005-0234-5

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