Discrete series characters and the Lefschetz formula for Hecke operators

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Discrete series characters and the Lefschetz formula for Hecke operators

M. Goresky, R. Kottwitz, and R. MacPherson

Source: Duke Math. J. Volume 89, Number 3 (1997), 477-554.

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See also: M. Goresky, R. Kottwitz, R. MacPherson. Correction to “Discrete series characters and the Lefschetz formula for Hecke operators”. Duke Math. J. Vol. 92, No. 3 (1998), pp. 665–666.

Project Euclid: euclid.dmj/1077231682

Primary Subjects: 11F75

Secondary Subjects: 20G30, 20G35, 22E47

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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241206
Mathematical Reviews number (MathSciNet): MR1620542
Zentralblatt MATH identifier: 0888.22011
Digital Object Identifier: doi:10.1215/S0012-7094-97-08922-5

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References

[AV] J. Adams and D. Vogan, $L$-groups, projective representations, and the Langlands classification, Amer. J. Math. 114 (1992), no. 1, 45–138.

Mathematical Reviews (MathSciNet): MR93c:22021

Zentralblatt MATH: 0760.22013

Digital Object Identifier: doi:10.2307/2374739

JSTOR: links.jstor.org

[A1] J. Arthur, The $L\sp 2$-Lefschetz numbers of Hecke operators, Invent. Math. 97 (1989), no. 2, 257–290.

Mathematical Reviews (MathSciNet): MR91i:22024

Zentralblatt MATH: 0692.22004

Digital Object Identifier: doi:10.1007/BF01389042

[A2] J. Arthur, A trace formula for reductive groups. I. Terms associated to classes in $G(\bf Q)$, Duke Math. J. 45 (1978), no. 4, 911–952.

Mathematical Reviews (MathSciNet): MR80d:10043

Zentralblatt MATH: 0499.10032

Digital Object Identifier: doi:10.1215/S0012-7094-78-04542-8

Project Euclid: euclid.dmj/1077313104

[F] J. Franke, Harmonic analysis in weighted $L_2$ spaces, to appear.

[GHM] M. Goresky, G. Harder, and R. MacPherson, Weighted cohomology, Invent. Math. 116 (1994), no. 1-3, 139–213.

Mathematical Reviews (MathSciNet): MR95c:11068

Zentralblatt MATH: 0849.11047

Digital Object Identifier: doi:10.1007/BF01231560

[GM1] M. Goresky and R. MacPherson, Lefschetz numbers of Hecke correspondences, The zeta functions of Picard modular surfaces, Univ. Montréal, Montreal, QC, 1992, pp. 465–478.

Mathematical Reviews (MathSciNet): MR93g:22010

Zentralblatt MATH: 0828.14029

[GM2] M. Goresky and R. MacPherson, Local contribution to the Lefschetz fixed point formula, Invent. Math. 111 (1993), no. 1, 1–33.

Mathematical Reviews (MathSciNet): MR94b:55009

Zentralblatt MATH: 0786.55001

Digital Object Identifier: doi:10.1007/BF01231277

[H1] G. Harder, A Gauss-Bonnet formula for discrete arithmetically defined groups, Ann. Sci. École Norm. Sup. (4) 4 (1971), 409–455.

Mathematical Reviews (MathSciNet): MR46:8255

Zentralblatt MATH: 0232.20088

[H2] G. Harder, Eisensteinkohomologie und die Konstruktion gemischter Motive, Lecture Notes in Mathematics, vol. 1562, Springer-Verlag, Berlin, 1993.

Mathematical Reviews (MathSciNet): MR95g:11043

Zentralblatt MATH: 0795.11024

[HC] Harish-Chandra, Discrete series for semisimple Lie groups. I. Construction of invariant eigendistributions, Acta Math. 113 (1965), 241–318.

Mathematical Reviews (MathSciNet): MR36:2744

Zentralblatt MATH: 0152.13402

Digital Object Identifier: doi:10.1007/BF02391779

[He1] R. Herb, Fourier inversion and the Plancherel theorem, Noncommutative harmonic analysis and Lie groups (Marseille, 1980), Lecture Notes in Math., vol. 880, Springer, Berlin, 1981, pp. 197–210.

Mathematical Reviews (MathSciNet): MR83f:22013

Zentralblatt MATH: 0467.43005

[He2] R. Herb, Characters of averaged discrete series on semisimple real Lie groups, Pacific J. Math. 80 (1979), no. 1, 169–177.

Mathematical Reviews (MathSciNet): MR80h:22020

Zentralblatt MATH: 0368.22007

Project Euclid: euclid.pjm/1102785962

[KS] M. Kashiwara and P. Schapira, Sheaves on manifolds, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 292, Springer-Verlag, Berlin, 1990.

Mathematical Reviews (MathSciNet): MR92a:58132

Zentralblatt MATH: 0709.18001

[K] A. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, NJ, 1986.

Mathematical Reviews (MathSciNet): MR87j:22022

Zentralblatt MATH: 0604.22001

[Ko] B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. (2) 74 (1961), 329–387.

Mathematical Reviews (MathSciNet): MR26:265

Zentralblatt MATH: 0134.03501

Digital Object Identifier: doi:10.2307/1970237

JSTOR: links.jstor.org

[L] E. Looijenga, $L\sp 2$-cohomology of locally symmetric varieties, Compositio Math. 67 (1988), no. 1, 3–20.

Mathematical Reviews (MathSciNet): MR90a:32044

Zentralblatt MATH: 0658.14010

[M] R. MacPherson, Chern classes for singular algebraic varieties, Ann. of Math. (2) 100 (1974), 423–432.

Mathematical Reviews (MathSciNet): MR50:13587

Zentralblatt MATH: 0311.14001

Digital Object Identifier: doi:10.2307/1971080

JSTOR: links.jstor.org

[N] A. Nair, Weighted cohomology of locally symmetric spaces, to appear.

[SS] L. Saper and M. Stern, $L\sb 2$-cohomology of arithmetic varieties, Ann. of Math. (2) 132 (1990), no. 1, 1–69.

Mathematical Reviews (MathSciNet): MR91m:14027

Zentralblatt MATH: 0722.14009

Digital Object Identifier: doi:10.2307/1971500

[S] D. Shelstad, Characters and inner forms of a quasi-split group over $\bf R$, Compositio Math. 39 (1979), no. 1, 11–45.

Mathematical Reviews (MathSciNet): MR80m:22023

Zentralblatt MATH: 0431.22011

[St] M. Stern, Lefschetz formulae for arithmetic varieties, Invent. Math. 115 (1994), no. 2, 241–296.

Mathematical Reviews (MathSciNet): MR95e:58169

Zentralblatt MATH: 0847.58071

Digital Object Identifier: doi:10.1007/BF01231760

[V] D. Vogan, Representations of real reductive Lie groups, Progress in Mathematics, vol. 15, Birkhäuser Boston, Mass., 1981.

Mathematical Reviews (MathSciNet): MR83c:22022

Zentralblatt MATH: 0469.22012

[Z] G. Zuckerman, Geometric methods in representation theory, Representation theory of reductive groups (Park City, Utah, 1982) ed. P. C. Trombi, Progr. Math., vol. 40, Birkhäuser Boston, Boston, MA, 1983, pp. 283–290.

Mathematical Reviews (MathSciNet): MR733819

Zentralblatt MATH: 0523.22017

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