Vol. 116, No. 2, 1985

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Liftings of supercuspidal representations of Gl2

José E. Pantoja

Vol. 116 (1985), No. 2, 307–351
Abstract

Let F be a p-field. Let E∕F be a tamely ramified cyclic extension of odd degree. Denote by πE∕F and Π respectively, the lift and the Shintani lift of an irreducible supercuspidal representation π of Gl2(F). The comparison of these two lifts of π is made by breaking up the formula for the character of a supercuspidal representation into a sum over a certain set of double cosets. As a result, we show that the liftings πE∕F and Π are equivalent.

Mathematical Subject Classification 2000
Primary: 22E50
Milestones
Received: 10 August 1983
Published: 1 February 1985
Authors
José E. Pantoja