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arXiv · 2307.08174

Local newforms for generic representations of unramified even unitary groups I: Even conductor case

Hiraku Atobe
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Abstract

In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integers, and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central characters. To do this, we use the local Gan-Gross-Prasad conjecture, the local Rankin-Selberg integrals, and the local theta correspondence.

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BibTeXRIS

Hiraku Atobe. 2023-07-17. Local newforms for generic representations of unramified even unitary groups I: Even conductor case. https://doi.org/10.1017/fms.2025.2

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