Abstract
In this chapter, we will express the π-isotypic Lefschetz numbers of Hecke operators acting on the cohomology of symmetric spaces SK(G) attached to reductive groups G in terms of so-called elliptic traces Tell, provided the underlying representation π is not a cuspidal representation associated with a parabolic subgroup (CAP representation) of G(A). In the following two chapters we derive from these formulas all the essential information required.
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© 2009 Springer-Verlag Berlin Heidelberg
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Weissauer, R. (2009). CAP-Localization. In: Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds. Lecture Notes in Mathematics(), vol 1968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89306-6_2
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DOI: https://doi.org/10.1007/978-3-540-89306-6_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89305-9
Online ISBN: 978-3-540-89306-6
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