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Induced representations and classifications for $$GSp(2,F)$$ and $$Sp(2,F)$$. (English) Zbl 0784.22008
Let $$F$$ be a $$p$$-adic field whose characteristic is different from 2. The authors study the reducibility of the representations of the groups $$\text{GSp}(2,F)$$ and $$\text{Sp}(2,F)$$ induced by irreducible representations of their parabolic subgroups. This leads to the classification results for various classes of irreducible representations (modulo cuspidal representations). In particular, the classification of all irreducible unitary representations is given.

##### MSC:
 22E50 Representations of Lie and linear algebraic groups over local fields 22D30 Induced representations for locally compact groups
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