Lefschetz Formulae for p-Adic Groups

Anton Deitmar

Chinese Annals of Mathematics, Series B ›› 2007, Vol. 28 ›› Issue (4) : 463 -474.

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Chinese Annals of Mathematics, Series B ›› 2007, Vol. 28 ›› Issue (4) : 463 -474. DOI: 10.1007/s11401-005-0234-5
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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.

Keywords

Arithmetic groups / Trace formula / Lefschetz formula / 11S40 / 11F72 / 11F75 / 22E40

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Anton Deitmar. Lefschetz Formulae for p-Adic Groups. Chinese Annals of Mathematics, Series B, 2007, 28(4): 463-474 DOI:10.1007/s11401-005-0234-5

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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 Math. Ann., 1977, 230: 101

[5]

Deitmar Math. Japon., 1998, 47: 1

[6]

Deitmar Geometric and Functional Analysis, 2004, 14: 1238

[7]

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

[8]

Kottwitz Ann. Math., 1988, 127: 629

[9]

Wolf Amer. J. Math., 1962, 84: 527

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