Abstract
In the last chapter the induction procedure presented in 2.1 was exploited, starting by the subgroups B J, K J and Ñ J. Now, another, albeit rather trivial, way to use this again is to take the discrete subgroup
of \( {G^J}({\mathbb R}) \) or equivalently the subgroup \( {\Gamma ^J} = S{L_2}({\Bbb Z}) \times H({\Bbb Z}) \) of \( {G^J}({\mathbb R}) \) , and in each case the trivial representation id, and induce from here, i.e., to study the representation \( ind_{{\Gamma ^J}}^{{G^{J({\mathbb R})}}}(id) \).
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© 1998 Springer Basel AG
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Berndt, R., Schmidt, R. (1998). The Space L 2(ΓJ\G J(ℝ)) and its Decomposition. In: Elements of the Representation Theory of the Jacobi Group. Progress in Mathematics, vol 163. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8772-4_4
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DOI: https://doi.org/10.1007/978-3-0348-8772-4_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-5922-5
Online ISBN: 978-3-0348-8772-4
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