منابع مشابه
Representations of Locally Compact Totally Disconnected Groups
Let G be a locally compact totally disconnected group. Recall that every neighborhood of 1 in G contains a compact open subgroup. If G is assumed to be compact, then every neighborhood of 1 in G contains a compact open normal subgroup. On the other hand, it follows from properties of Lie groups that the group GL(n,C) has the property that there is some neighborhood of the identity which contain...
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In particular, the fact that ideas regarding Jacquet modules and the double coset method (regarding intertwining operators) can be developed in this generality is useful in applications. Since we are interested in such things as Jacquet modules, we more generally consider the notions of isotype and co-isotype. Spherical representations and admissibility, at the end, may seem mysterious at this ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1977
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-94-2-97-106