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Titlebook: Elements of the Representation Theory of the Jacobi Group; Rolf Berndt,Ralf Schmidt Book 1998 Springer Basel AG 1998 Number theory.algebra

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樓主: cucumber
11#
發(fā)表于 2025-3-23 13:05:52 | 只看該作者
,Wahrnehmung und K?rperkontrolle,n this chapter we will collect some general material, mainly going back to Mackey, which will be useful in all three cases. We start by explaining the induction procedure, and apply it to describe the representations of the Heisenberg group. We treat the representations of the Jacobi group .. with t
12#
發(fā)表于 2025-3-23 15:46:58 | 只看該作者
,Wahrnehmung und K?rperkontrolle,which is a genuine representation of the metaplectic cover.and may be identified with a projective representation of.If we tensorize.with another genuine representation.of the metaplectic cover Mp.(again to be identified with a projective representation of SL..) we get.a representation of ...with ce
13#
發(fā)表于 2025-3-23 20:14:07 | 只看該作者
14#
發(fā)表于 2025-3-24 01:20:27 | 只看該作者
https://doi.org/10.1007/978-3-642-59156-3each the goal of classifying all irreducible, admissible representations of ... by using the fundamental relation.and the classification of representations of the metaplectic group given by Waldspurger in [Wa1]. Roughly speaking, all non-supercuspidal irreducible representations of Mp are obtained b
15#
發(fā)表于 2025-3-24 03:00:38 | 只看該作者
Das Becken und die Iliosakralgelenke,e existence of a non-zero vector fixed by the compact-open subgroup ..(.), where (.);is the ring of integers in . For global considerations it is always necessary to have sufficient information on spherical representations.
16#
發(fā)表于 2025-3-24 09:08:50 | 只看該作者
https://doi.org/10.1007/978-3-662-48803-4ers, we are now ready to consider representations of G. (.), where.is the adele ring of some number field. The first section of this chapter collects some basic results about the adelized Jacobi group.
17#
發(fā)表于 2025-3-24 10:49:09 | 只看該作者
18#
發(fā)表于 2025-3-24 15:32:29 | 只看該作者
,Wahrnehmung und K?rperkontrolle,which is a genuine representation of the metaplectic cover.and may be identified with a projective representation of.If we tensorize.with another genuine representation.of the metaplectic cover Mp.(again to be identified with a projective representation of SL..) we get.a representation of ...with central character., i.e..for all..
19#
發(fā)表于 2025-3-24 20:09:30 | 只看該作者
https://doi.org/10.1007/978-3-642-70150-4al, way to use this again is to take the discrete subgroup.of . or equivalently the subgroup. of., and in each case the trivial representation id, and induce from here, i.e., to study the representation..
20#
發(fā)表于 2025-3-25 00:43:16 | 只看該作者
Das Becken und die Iliosakralgelenke,e existence of a non-zero vector fixed by the compact-open subgroup ..(.), where (.);is the ring of integers in . For global considerations it is always necessary to have sufficient information on spherical representations.
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