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In this article we prove orthogonality relations for deep level Deligne--Lusztig varieties of Coxeter type, attached to a reductive group over a local non-archimedean field, which splits over an unramified extension. This extends results of Dudas and the first author, where the quasi-split case was handled. This allows to construct new irreducible representations of parahoric subgroups of p-adic groups.
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Ivanov et al. (Fri,) studied this question.
synapsesocial.com/papers/68e5f0a2b6db643587584fe5 — DOI: https://doi.org/10.48550/arxiv.2407.18694
Alexander B. Ivanov
Ruhr University Bochum
Sian Nie
Chinese Academy of Sciences
Panjun Tan
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