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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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楼主: cucumber
发表于 2025-3-23 13:05:52 | 显示全部楼层
,Wahrnehmung und Körperkontrolle,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
发表于 2025-3-23 15:46:58 | 显示全部楼层
,Wahrnehmung und Körperkontrolle,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
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发表于 2025-3-24 01:20:27 | 显示全部楼层
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
发表于 2025-3-24 03:00:38 | 显示全部楼层
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.
发表于 2025-3-24 09:08:50 | 显示全部楼层
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.
发表于 2025-3-24 10:49:09 | 显示全部楼层
发表于 2025-3-24 15:32:29 | 显示全部楼层
,Wahrnehmung und Körperkontrolle,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..
发表于 2025-3-24 20:09:30 | 显示全部楼层
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..
发表于 2025-3-25 00:43:16 | 显示全部楼层
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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