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The algebraic theory of tempered representations of \(p\)-adic groups. II: Projective generators - MaRDI portal

The algebraic theory of tempered representations of \(p\)-adic groups. II: Projective generators (Q2427031)

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The algebraic theory of tempered representations of \(p\)-adic groups. II: Projective generators
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    The algebraic theory of tempered representations of \(p\)-adic groups. II: Projective generators (English)
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    14 May 2008
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    This paper is a sequel to Part I [J. Inst. Math. Jussieu 6, No. 4, 639--688 (2007; Zbl 1126.22008)] by the same authors. In the paper under review, the authors use the formalism of parabolic induction and restriction for \(M^t(G)\) in their earlier paper to construct explicit projective generators and to compute the center of \(M^t(G)\). As an application, they obtain an algebraic proof of the Plancherel isomorphism.
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    \(p\)-adic reductive group
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    Schwartz algebra
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    tempered representation
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