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Explicit Forms of Local Lifting for GL2

Published online by Cambridge University Press:  20 November 2018

Donggyun Kim
Donggyun Kim*
Affiliation:
Department of Mathematics, School of Science, Korea University,Seoul 136-701, [email protected]
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Abstract

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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).

Keywords

22E5011S37
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 2 , 01 April 1996 , pp. 343 - 362
Copyright
Copyright © Canadian Mathematical Society 1996

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