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arXiv · 1707.06495

On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad

Raphaël Beuzart-Plessis
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Abstract

We prove an integral formula computing multiplicities of square-integrable representations relative to Galois pairs over $p$-adic fields and we apply this formula to verify two consequences of a conjecture of Dipendra Prasad. One concerns the exact computation of the multiplicity of the Steinberg representation and the other the invariance of multiplicities by transfer among inner forms.

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BibTeXRIS

Raphaël Beuzart-Plessis. 2017-07-20. On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad. https://doi.org/10.1007/s00222-018-0807-z

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