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Weil representation and $$\beta$$-extensions. (Représentation de Weil et $$\beta$$-extensions.) (French. English summary) Zbl 1252.22009
Ann. Inst. Fourier 62, No. 4, 1319-1366 (2012); erratum in ibid. 62, No. 6, 2385-2385 (2012).
The author studies $$\beta$$-extensions in a $$p$$-adic classical group and produces a relation between some $$\beta$$-extensions by means of a Weil representation. This is applied to the study of reducibility points of some parabolically induced representations.

##### MSC:
 2.2e+51 Representations of Lie and linear algebraic groups over local fields
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##### References:
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