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 contribution | Explicit Jacquet-Langlands correspondence II. The case of degree equal to residual characteristic |
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Original language | French |
Pages (from-to) | 211 - 225 |
Number of pages | 15 |
Journal | MANUSCRIPTA MATHEMATICA |
Volume | 102 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2000 |