Explicit Forms of Local Lifting for GL2

Kim, Donggyun

Canadian journal of mathematics, Tome 48 (1996) no. 2, pp. 343-362

Résumé

Let F be a local non-Archimedean field and let Ꮪ(GL2(F)) be the set of equivalence classes of irreducible admissible representations of GL(F). When K/F be a Galois field extension, there is a map, called lifting, from Ꮪ(GL2(F)) to Ꮪ(GL2(K)). We give an explicit form of lifting when K/F is a quadratic wildly ramified extension and the given representations are Weil supercuspidal. We also provide a comparison between Weil representations and induced representations of GL2(F).

Détail

DOI : 10.4153/CJM-1996-019-3

Mots-clés : 22E50, 11S37

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