Explicit Jacquet-Langlands correspondence II. The case of degree equal to residual characteristic

Translated title of the contribution: Explicit Jacquet-Langlands correspondence II. The case of degree equal to residual characteristic

C J Bushnell, G Henniart

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

Let F be a non-Archimedean locally compact field, and let p be its residual characteristic. Put G = GL(p)(F) and let G' = D-X, where D is a division algebra with centre F and of degree p(2) over F. The Jacquet-Langlands correspondence is a bijection between the discrete series of G and that of G'. We describe this explicitly, in terms of Carayol's parametrization of these discrete series.
Translated title of the contributionExplicit Jacquet-Langlands correspondence II. The case of degree equal to residual characteristic
Original languageFrench
Pages (from-to)211 - 225
Number of pages15
JournalMANUSCRIPTA MATHEMATICA
Volume102
Issue number2
DOIs
Publication statusPublished - 2000

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