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Irreducibility of standard representations for Iwahori–spherical representations

✍ Scribed by Goran Muić; Freydoon Shahidi


Book ID
105874148
Publisher
Springer
Year
1998
Tongue
English
Weight
177 KB
Volume
312
Category
Article
ISSN
0025-5831

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Complete Irreducibility and X-Spherical
✍ H. Stetkaer 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 458 KB

Let \(G\) be a locally compact group, \(K\) a compact subgroup, and \(\chi: K \rightarrow\{|=|=1\}\) a continuous homomorphism. Let \(\pi\) be a continuous irreducible representation of \(G\) on a complete locally convex space \(V\) such that the subspace \(\{v \in V \mid \pi(k) v=\) \(\chi(k) v, \f